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Finding the Fourth Proportional to 733.66, 1,012.10 and 471.83

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Solution

The fourth proportional to 733.66, 1,012.10 and 471.83 is: 650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.66 : 1,012.10 = 471.83 : x
  2. Step 2: Convert to fraction form
    733.66/1,012.10 = 471.83/x
  3. Step 3: Cross multiply
    733.66x = 1,012.10 × 471.83
  4. Step 4: Simplify right side
    733.66x = 477,531.72
  5. Step 5: Solve for x
    x = 477,531.72/733.66
  6. Step 6: Final answer
    x = 650.89

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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.