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Finding the Fourth Proportional to 539.53, 808.72 and 307.92

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Solution

The fourth proportional to 539.53, 808.72 and 307.92 is: 461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.53 : 808.72 = 307.92 : x
  2. Step 2: Convert to fraction form
    539.53/808.72 = 307.92/x
  3. Step 3: Cross multiply
    539.53x = 808.72 × 307.92
  4. Step 4: Simplify right side
    539.53x = 249,023.08
  5. Step 5: Solve for x
    x = 249,023.08/539.53
  6. Step 6: Final answer
    x = 461.56

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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.