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Finding the Fourth Proportional to 531.59, 733.59 and 298.71

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Solution

The fourth proportional to 531.59, 733.59 and 298.71 is: 412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.59 : 733.59 = 298.71 : x
  2. Step 2: Convert to fraction form
    531.59/733.59 = 298.71/x
  3. Step 3: Cross multiply
    531.59x = 733.59 × 298.71
  4. Step 4: Simplify right side
    531.59x = 219,130.67
  5. Step 5: Solve for x
    x = 219,130.67/531.59
  6. Step 6: Final answer
    x = 412.22

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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.