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Finding the Fourth Proportional to 531.68, 733.40 and 448.65

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Solution

The fourth proportional to 531.68, 733.40 and 448.65 is: 618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.68 : 733.40 = 448.65 : x
  2. Step 2: Convert to fraction form
    531.68/733.40 = 448.65/x
  3. Step 3: Cross multiply
    531.68x = 733.40 × 448.65
  4. Step 4: Simplify right side
    531.68x = 329,037.67
  5. Step 5: Solve for x
    x = 329,037.67/531.68
  6. Step 6: Final answer
    x = 618.87

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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.