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Finding the Fourth Proportional to 663.66, 989.91 and 594.45

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Solution

The fourth proportional to 663.66, 989.91 and 594.45 is: 886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 989.91 = 594.45 : x
  2. Step 2: Convert to fraction form
    663.66/989.91 = 594.45/x
  3. Step 3: Cross multiply
    663.66x = 989.91 × 594.45
  4. Step 4: Simplify right side
    663.66x = 588,452.00
  5. Step 5: Solve for x
    x = 588,452.00/663.66
  6. Step 6: Final answer
    x = 886.68

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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.