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Finding the Fourth Proportional to 732.68, 1,011.08 and 433.79

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Solution

The fourth proportional to 732.68, 1,011.08 and 433.79 is: 598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.68 : 1,011.08 = 433.79 : x
  2. Step 2: Convert to fraction form
    732.68/1,011.08 = 433.79/x
  3. Step 3: Cross multiply
    732.68x = 1,011.08 × 433.79
  4. Step 4: Simplify right side
    732.68x = 438,596.21
  5. Step 5: Solve for x
    x = 438,596.21/732.68
  6. Step 6: Final answer
    x = 598.62

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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.