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Finding the Fourth Proportional to 612.76, 923.20 and 557.24

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Solution

The fourth proportional to 612.76, 923.20 and 557.24 is: 839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.76 : 923.20 = 557.24 : x
  2. Step 2: Convert to fraction form
    612.76/923.20 = 557.24/x
  3. Step 3: Cross multiply
    612.76x = 923.20 × 557.24
  4. Step 4: Simplify right side
    612.76x = 514,443.97
  5. Step 5: Solve for x
    x = 514,443.97/612.76
  6. Step 6: Final answer
    x = 839.55

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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.