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Finding the Fourth Proportional to 676, 930.36 and 557.02

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Solution

The fourth proportional to 676, 930.36 and 557.02 is: 766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 930.36 = 557.02 : x
  2. Step 2: Convert to fraction form
    676/930.36 = 557.02/x
  3. Step 3: Cross multiply
    676x = 930.36 × 557.02
  4. Step 4: Simplify right side
    676x = 518,229.13
  5. Step 5: Solve for x
    x = 518,229.13/676
  6. Step 6: Final answer
    x = 766.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.