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Finding the Fourth Proportional to 1,146.69, 1,720.08 and 496.98

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Solution

The fourth proportional to 1,146.69, 1,720.08 and 496.98 is: 745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.69 : 1,720.08 = 496.98 : x
  2. Step 2: Convert to fraction form
    1,146.69/1,720.08 = 496.98/x
  3. Step 3: Cross multiply
    1,146.69x = 1,720.08 × 496.98
  4. Step 4: Simplify right side
    1,146.69x = 854,845.36
  5. Step 5: Solve for x
    x = 854,845.36/1,146.69
  6. Step 6: Final answer
    x = 745.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.