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Finding the Fourth Proportional to 612.53, 916.85 and 392.86

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Solution

The fourth proportional to 612.53, 916.85 and 392.86 is: 588.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.53 : 916.85 = 392.86 : x
  2. Step 2: Convert to fraction form
    612.53/916.85 = 392.86/x
  3. Step 3: Cross multiply
    612.53x = 916.85 × 392.86
  4. Step 4: Simplify right side
    612.53x = 360,187.14
  5. Step 5: Solve for x
    x = 360,187.14/612.53
  6. Step 6: Final answer
    x = 588.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.