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Finding the Fourth Proportional to 732.26, 1,096.77 and 471.41

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Solution

The fourth proportional to 732.26, 1,096.77 and 471.41 is: 706.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.26 : 1,096.77 = 471.41 : x
  2. Step 2: Convert to fraction form
    732.26/1,096.77 = 471.41/x
  3. Step 3: Cross multiply
    732.26x = 1,096.77 × 471.41
  4. Step 4: Simplify right side
    732.26x = 517,031.83
  5. Step 5: Solve for x
    x = 517,031.83/732.26
  6. Step 6: Final answer
    x = 706.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.