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Finding the Fourth Proportional to 617.58, 922.50 and 462.66

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Solution

The fourth proportional to 617.58, 922.50 and 462.66 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 922.50 = 462.66 : x
  2. Step 2: Convert to fraction form
    617.58/922.50 = 462.66/x
  3. Step 3: Cross multiply
    617.58x = 922.50 × 462.66
  4. Step 4: Simplify right side
    617.58x = 426,803.85
  5. Step 5: Solve for x
    x = 426,803.85/617.58
  6. Step 6: Final answer
    x = 691.09

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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.