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Finding the Fourth Proportional to 1,146.89, 1,720.34 and 416.47

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Solution

The fourth proportional to 1,146.89, 1,720.34 and 416.47 is: 624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.89 : 1,720.34 = 416.47 : x
  2. Step 2: Convert to fraction form
    1,146.89/1,720.34 = 416.47/x
  3. Step 3: Cross multiply
    1,146.89x = 1,720.34 × 416.47
  4. Step 4: Simplify right side
    1,146.89x = 716,459.32
  5. Step 5: Solve for x
    x = 716,459.32/1,146.89
  6. Step 6: Final answer
    x = 624.70

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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.