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Finding the Fourth Proportional to 613.14, 916.01 and 514.77

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Solution

The fourth proportional to 613.14, 916.01 and 514.77 is: 769.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.14 : 916.01 = 514.77 : x
  2. Step 2: Convert to fraction form
    613.14/916.01 = 514.77/x
  3. Step 3: Cross multiply
    613.14x = 916.01 × 514.77
  4. Step 4: Simplify right side
    613.14x = 471,531.89
  5. Step 5: Solve for x
    x = 471,531.89/613.14
  6. Step 6: Final answer
    x = 769.04

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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.