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Finding the Fourth Proportional to 733.65, 1,012.87 and 485.18

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Solution

The fourth proportional to 733.65, 1,012.87 and 485.18 is: 669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.65 : 1,012.87 = 485.18 : x
  2. Step 2: Convert to fraction form
    733.65/1,012.87 = 485.18/x
  3. Step 3: Cross multiply
    733.65x = 1,012.87 × 485.18
  4. Step 4: Simplify right side
    733.65x = 491,424.27
  5. Step 5: Solve for x
    x = 491,424.27/733.65
  6. Step 6: Final answer
    x = 669.83

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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.