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Finding the Fourth Proportional to 525.54, 724.71 and 470.87

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Solution

The fourth proportional to 525.54, 724.71 and 470.87 is: 649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.54 : 724.71 = 470.87 : x
  2. Step 2: Convert to fraction form
    525.54/724.71 = 470.87/x
  3. Step 3: Cross multiply
    525.54x = 724.71 × 470.87
  4. Step 4: Simplify right side
    525.54x = 341,244.20
  5. Step 5: Solve for x
    x = 341,244.20/525.54
  6. Step 6: Final answer
    x = 649.32

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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.