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Finding the Fourth Proportional to 540.19, 745.72 and 407.47

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Solution

The fourth proportional to 540.19, 745.72 and 407.47 is: 562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.19 : 745.72 = 407.47 : x
  2. Step 2: Convert to fraction form
    540.19/745.72 = 407.47/x
  3. Step 3: Cross multiply
    540.19x = 745.72 × 407.47
  4. Step 4: Simplify right side
    540.19x = 303,858.53
  5. Step 5: Solve for x
    x = 303,858.53/540.19
  6. Step 6: Final answer
    x = 562.50

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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.