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Finding the Fourth Proportional to 616.41, 928.73 and 557.91

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Solution

The fourth proportional to 616.41, 928.73 and 557.91 is: 840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.41 : 928.73 = 557.91 : x
  2. Step 2: Convert to fraction form
    616.41/928.73 = 557.91/x
  3. Step 3: Cross multiply
    616.41x = 928.73 × 557.91
  4. Step 4: Simplify right side
    616.41x = 518,148.45
  5. Step 5: Solve for x
    x = 518,148.45/616.41
  6. Step 6: Final answer
    x = 840.59

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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.