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Finding the Fourth Proportional to 667.64, 995.14 and 614.72

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Solution

The fourth proportional to 667.64, 995.14 and 614.72 is: 916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.64 : 995.14 = 614.72 : x
  2. Step 2: Convert to fraction form
    667.64/995.14 = 614.72/x
  3. Step 3: Cross multiply
    667.64x = 995.14 × 614.72
  4. Step 4: Simplify right side
    667.64x = 611,732.46
  5. Step 5: Solve for x
    x = 611,732.46/667.64
  6. Step 6: Final answer
    x = 916.26

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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.