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Finding the Fourth Proportional to 531.80, 798.48 and 315.50

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Solution

The fourth proportional to 531.80, 798.48 and 315.50 is: 473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.80 : 798.48 = 315.50 : x
  2. Step 2: Convert to fraction form
    531.80/798.48 = 315.50/x
  3. Step 3: Cross multiply
    531.80x = 798.48 × 315.50
  4. Step 4: Simplify right side
    531.80x = 251,920.44
  5. Step 5: Solve for x
    x = 251,920.44/531.80
  6. Step 6: Final answer
    x = 473.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.