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Finding the Fourth Proportional to 842.59, 1,162.10 and 527.57

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Solution

The fourth proportional to 842.59, 1,162.10 and 527.57 is: 727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.59 : 1,162.10 = 527.57 : x
  2. Step 2: Convert to fraction form
    842.59/1,162.10 = 527.57/x
  3. Step 3: Cross multiply
    842.59x = 1,162.10 × 527.57
  4. Step 4: Simplify right side
    842.59x = 613,080.65
  5. Step 5: Solve for x
    x = 613,080.65/842.59
  6. Step 6: Final answer
    x = 727.62

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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.