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Finding the Fourth Proportional to 1,165.92, 1,609.66 and 724.07

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Solution

The fourth proportional to 1,165.92, 1,609.66 and 724.07 is: 999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.92 : 1,609.66 = 724.07 : x
  2. Step 2: Convert to fraction form
    1,165.92/1,609.66 = 724.07/x
  3. Step 3: Cross multiply
    1,165.92x = 1,609.66 × 724.07
  4. Step 4: Simplify right side
    1,165.92x = 1,165,506.52
  5. Step 5: Solve for x
    x = 1,165,506.52/1,165.92
  6. Step 6: Final answer
    x = 999.65

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1.5x scale

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.