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Finding the Fourth Proportional to 619.02, 932.16 and 538.83

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Solution

The fourth proportional to 619.02, 932.16 and 538.83 is: 811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.02 : 932.16 = 538.83 : x
  2. Step 2: Convert to fraction form
    619.02/932.16 = 538.83/x
  3. Step 3: Cross multiply
    619.02x = 932.16 × 538.83
  4. Step 4: Simplify right side
    619.02x = 502,275.77
  5. Step 5: Solve for x
    x = 502,275.77/619.02
  6. Step 6: Final answer
    x = 811.40

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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.