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Finding the Fourth Proportional to 543.59, 813.92 and 312.15

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Solution

The fourth proportional to 543.59, 813.92 and 312.15 is: 467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.59 : 813.92 = 312.15 : x
  2. Step 2: Convert to fraction form
    543.59/813.92 = 312.15/x
  3. Step 3: Cross multiply
    543.59x = 813.92 × 312.15
  4. Step 4: Simplify right side
    543.59x = 254,065.91
  5. Step 5: Solve for x
    x = 254,065.91/543.59
  6. Step 6: Final answer
    x = 467.39

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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.