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Finding the Fourth Proportional to 663.61, 989.57 and 617.44

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Solution

The fourth proportional to 663.61, 989.57 and 617.44 is: 920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.61 : 989.57 = 617.44 : x
  2. Step 2: Convert to fraction form
    663.61/989.57 = 617.44/x
  3. Step 3: Cross multiply
    663.61x = 989.57 × 617.44
  4. Step 4: Simplify right side
    663.61x = 611,000.10
  5. Step 5: Solve for x
    x = 611,000.10/663.61
  6. Step 6: Final answer
    x = 920.72

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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.