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Finding the Fourth Proportional to 655.02, 974.50 and 616.14

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Solution

The fourth proportional to 655.02, 974.50 and 616.14 is: 916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.02 : 974.50 = 616.14 : x
  2. Step 2: Convert to fraction form
    655.02/974.50 = 616.14/x
  3. Step 3: Cross multiply
    655.02x = 974.50 × 616.14
  4. Step 4: Simplify right side
    655.02x = 600,426.89
  5. Step 5: Solve for x
    x = 600,426.89/655.02
  6. Step 6: Final answer
    x = 916.65

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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.