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Finding the Fourth Proportional to 733.48, 1,012.08 and 418.72

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Solution

The fourth proportional to 733.48, 1,012.08 and 418.72 is: 577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.48 : 1,012.08 = 418.72 : x
  2. Step 2: Convert to fraction form
    733.48/1,012.08 = 418.72/x
  3. Step 3: Cross multiply
    733.48x = 1,012.08 × 418.72
  4. Step 4: Simplify right side
    733.48x = 423,778.14
  5. Step 5: Solve for x
    x = 423,778.14/733.48
  6. Step 6: Final answer
    x = 577.76

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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.