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Finding the Fourth Proportional to 1,080.61, 1,490.79 and 638.35

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Solution

The fourth proportional to 1,080.61, 1,490.79 and 638.35 is: 880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.61 : 1,490.79 = 638.35 : x
  2. Step 2: Convert to fraction form
    1,080.61/1,490.79 = 638.35/x
  3. Step 3: Cross multiply
    1,080.61x = 1,490.79 × 638.35
  4. Step 4: Simplify right side
    1,080.61x = 951,645.80
  5. Step 5: Solve for x
    x = 951,645.80/1,080.61
  6. Step 6: Final answer
    x = 880.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.