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Finding the Fourth Proportional to 732.87, 1,010.75 and 601.65

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Solution

The fourth proportional to 732.87, 1,010.75 and 601.65 is: 829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.87 : 1,010.75 = 601.65 : x
  2. Step 2: Convert to fraction form
    732.87/1,010.75 = 601.65/x
  3. Step 3: Cross multiply
    732.87x = 1,010.75 × 601.65
  4. Step 4: Simplify right side
    732.87x = 608,114.73
  5. Step 5: Solve for x
    x = 608,114.73/732.87
  6. Step 6: Final answer
    x = 829.77

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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.