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Finding the Fourth Proportional to 539.24, 747.64 and 521.24

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Solution

The fourth proportional to 539.24, 747.64 and 521.24 is: 722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 747.64 = 521.24 : x
  2. Step 2: Convert to fraction form
    539.24/747.64 = 521.24/x
  3. Step 3: Cross multiply
    539.24x = 747.64 × 521.24
  4. Step 4: Simplify right side
    539.24x = 389,699.87
  5. Step 5: Solve for x
    x = 389,699.87/539.24
  6. Step 6: Final answer
    x = 722.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.