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Finding the Fourth Proportional to 616.64, 844.30 and 614.48

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Solution

The fourth proportional to 616.64, 844.30 and 614.48 is: 841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.64 : 844.30 = 614.48 : x
  2. Step 2: Convert to fraction form
    616.64/844.30 = 614.48/x
  3. Step 3: Cross multiply
    616.64x = 844.30 × 614.48
  4. Step 4: Simplify right side
    616.64x = 518,805.46
  5. Step 5: Solve for x
    x = 518,805.46/616.64
  6. Step 6: Final answer
    x = 841.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.