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Finding the Fourth Proportional to 732.98, 1,011.49 and 438.19

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Solution

The fourth proportional to 732.98, 1,011.49 and 438.19 is: 604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.98 : 1,011.49 = 438.19 : x
  2. Step 2: Convert to fraction form
    732.98/1,011.49 = 438.19/x
  3. Step 3: Cross multiply
    732.98x = 1,011.49 × 438.19
  4. Step 4: Simplify right side
    732.98x = 443,224.80
  5. Step 5: Solve for x
    x = 443,224.80/732.98
  6. Step 6: Final answer
    x = 604.69

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Double scale
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1.5x scale

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.