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Finding the Fourth Proportional to 501.39, 752.01 and 472.86

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Solution

The fourth proportional to 501.39, 752.01 and 472.86 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.39 : 752.01 = 472.86 : x
  2. Step 2: Convert to fraction form
    501.39/752.01 = 472.86/x
  3. Step 3: Cross multiply
    501.39x = 752.01 × 472.86
  4. Step 4: Simplify right side
    501.39x = 355,595.45
  5. Step 5: Solve for x
    x = 355,595.45/501.39
  6. Step 6: Final answer
    x = 709.22

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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.