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Finding the Fourth Proportional to 525.31, 721.33 and 470.02

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Solution

The fourth proportional to 525.31, 721.33 and 470.02 is: 645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.31 : 721.33 = 470.02 : x
  2. Step 2: Convert to fraction form
    525.31/721.33 = 470.02/x
  3. Step 3: Cross multiply
    525.31x = 721.33 × 470.02
  4. Step 4: Simplify right side
    525.31x = 339,039.53
  5. Step 5: Solve for x
    x = 339,039.53/525.31
  6. Step 6: Final answer
    x = 645.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.