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Finding the Fourth Proportional to 521.24, 715.33 and 472.03

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Solution

The fourth proportional to 521.24, 715.33 and 472.03 is: 647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.24 : 715.33 = 472.03 : x
  2. Step 2: Convert to fraction form
    521.24/715.33 = 472.03/x
  3. Step 3: Cross multiply
    521.24x = 715.33 × 472.03
  4. Step 4: Simplify right side
    521.24x = 337,656.02
  5. Step 5: Solve for x
    x = 337,656.02/521.24
  6. Step 6: Final answer
    x = 647.80

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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.