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Finding the Fourth Proportional to 1,087.76, 1,630.92 and 601.04

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Solution

The fourth proportional to 1,087.76, 1,630.92 and 601.04 is: 901.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.76 : 1,630.92 = 601.04 : x
  2. Step 2: Convert to fraction form
    1,087.76/1,630.92 = 601.04/x
  3. Step 3: Cross multiply
    1,087.76x = 1,630.92 × 601.04
  4. Step 4: Simplify right side
    1,087.76x = 980,248.16
  5. Step 5: Solve for x
    x = 980,248.16/1,087.76
  6. Step 6: Final answer
    x = 901.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.