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Finding the Fourth Proportional to 539.84, 807.78 and 524

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Solution

The fourth proportional to 539.84, 807.78 and 524 is: 784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.84 : 807.78 = 524 : x
  2. Step 2: Convert to fraction form
    539.84/807.78 = 524/x
  3. Step 3: Cross multiply
    539.84x = 807.78 × 524
  4. Step 4: Simplify right side
    539.84x = 423,276.72
  5. Step 5: Solve for x
    x = 423,276.72/539.84
  6. Step 6: Final answer
    x = 784.08

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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.