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Finding the Fourth Proportional to 732.42, 1,011.21 and 484.20

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Solution

The fourth proportional to 732.42, 1,011.21 and 484.20 is: 668.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.42 : 1,011.21 = 484.20 : x
  2. Step 2: Convert to fraction form
    732.42/1,011.21 = 484.20/x
  3. Step 3: Cross multiply
    732.42x = 1,011.21 × 484.20
  4. Step 4: Simplify right side
    732.42x = 489,627.88
  5. Step 5: Solve for x
    x = 489,627.88/732.42
  6. Step 6: Final answer
    x = 668.51

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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.