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Finding the Fourth Proportional to 663.80, 1,000.13 and 611.32

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Solution

The fourth proportional to 663.80, 1,000.13 and 611.32 is: 921.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.80 : 1,000.13 = 611.32 : x
  2. Step 2: Convert to fraction form
    663.80/1,000.13 = 611.32/x
  3. Step 3: Cross multiply
    663.80x = 1,000.13 × 611.32
  4. Step 4: Simplify right side
    663.80x = 611,399.47
  5. Step 5: Solve for x
    x = 611,399.47/663.80
  6. Step 6: Final answer
    x = 921.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.