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Finding the Fourth Proportional to 613.57, 916.45 and 527.15

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Solution

The fourth proportional to 613.57, 916.45 and 527.15 is: 787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.57 : 916.45 = 527.15 : x
  2. Step 2: Convert to fraction form
    613.57/916.45 = 527.15/x
  3. Step 3: Cross multiply
    613.57x = 916.45 × 527.15
  4. Step 4: Simplify right side
    613.57x = 483,106.62
  5. Step 5: Solve for x
    x = 483,106.62/613.57
  6. Step 6: Final answer
    x = 787.37

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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.