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Finding the Fourth Proportional to 617.87, 921.34 and 612.38

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Solution

The fourth proportional to 617.87, 921.34 and 612.38 is: 913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.87 : 921.34 = 612.38 : x
  2. Step 2: Convert to fraction form
    617.87/921.34 = 612.38/x
  3. Step 3: Cross multiply
    617.87x = 921.34 × 612.38
  4. Step 4: Simplify right side
    617.87x = 564,210.19
  5. Step 5: Solve for x
    x = 564,210.19/617.87
  6. Step 6: Final answer
    x = 913.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.