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Finding the Fourth Proportional to 733.54, 1,012.18 and 418.76

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Solution

The fourth proportional to 733.54, 1,012.18 and 418.76 is: 577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.54 : 1,012.18 = 418.76 : x
  2. Step 2: Convert to fraction form
    733.54/1,012.18 = 418.76/x
  3. Step 3: Cross multiply
    733.54x = 1,012.18 × 418.76
  4. Step 4: Simplify right side
    733.54x = 423,860.50
  5. Step 5: Solve for x
    x = 423,860.50/733.54
  6. Step 6: Final answer
    x = 577.83

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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.