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Finding the Fourth Proportional to 619.01, 932.18 and 538.82

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Solution

The fourth proportional to 619.01, 932.18 and 538.82 is: 811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.01 : 932.18 = 538.82 : x
  2. Step 2: Convert to fraction form
    619.01/932.18 = 538.82/x
  3. Step 3: Cross multiply
    619.01x = 932.18 × 538.82
  4. Step 4: Simplify right side
    619.01x = 502,277.23
  5. Step 5: Solve for x
    x = 502,277.23/619.01
  6. Step 6: Final answer
    x = 811.42

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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.