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Finding the Fourth Proportional to 619.26, 932.56 and 539.07

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Solution

The fourth proportional to 619.26, 932.56 and 539.07 is: 811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.26 : 932.56 = 539.07 : x
  2. Step 2: Convert to fraction form
    619.26/932.56 = 539.07/x
  3. Step 3: Cross multiply
    619.26x = 932.56 × 539.07
  4. Step 4: Simplify right side
    619.26x = 502,715.12
  5. Step 5: Solve for x
    x = 502,715.12/619.26
  6. Step 6: Final answer
    x = 811.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.