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Finding the Fourth Proportional to 1,071.62, 1,606.65 and 724.10

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Solution

The fourth proportional to 1,071.62, 1,606.65 and 724.10 is: 1,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.62 : 1,606.65 = 724.10 : x
  2. Step 2: Convert to fraction form
    1,071.62/1,606.65 = 724.10/x
  3. Step 3: Cross multiply
    1,071.62x = 1,606.65 × 724.10
  4. Step 4: Simplify right side
    1,071.62x = 1,163,375.27
  5. Step 5: Solve for x
    x = 1,163,375.27/1,071.62
  6. Step 6: Final answer
    x = 1,085.62

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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.