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Finding the Fourth Proportional to 663.66, 990.43 and 590.76

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Solution

The fourth proportional to 663.66, 990.43 and 590.76 is: 881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.66 : 990.43 = 590.76 : x
  2. Step 2: Convert to fraction form
    663.66/990.43 = 590.76/x
  3. Step 3: Cross multiply
    663.66x = 990.43 × 590.76
  4. Step 4: Simplify right side
    663.66x = 585,104.95
  5. Step 5: Solve for x
    x = 585,104.95/663.66
  6. Step 6: Final answer
    x = 881.63

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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.