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Finding the Fourth Proportional to 612.20, 916.38 and 457.24

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Solution

The fourth proportional to 612.20, 916.38 and 457.24 is: 684.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.20 : 916.38 = 457.24 : x
  2. Step 2: Convert to fraction form
    612.20/916.38 = 457.24/x
  3. Step 3: Cross multiply
    612.20x = 916.38 × 457.24
  4. Step 4: Simplify right side
    612.20x = 419,005.59
  5. Step 5: Solve for x
    x = 419,005.59/612.20
  6. Step 6: Final answer
    x = 684.43

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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.