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Finding the Fourth Proportional to 543.88, 813.92 and 390.13

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Solution

The fourth proportional to 543.88, 813.92 and 390.13 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.88 : 813.92 = 390.13 : x
  2. Step 2: Convert to fraction form
    543.88/813.92 = 390.13/x
  3. Step 3: Cross multiply
    543.88x = 813.92 × 390.13
  4. Step 4: Simplify right side
    543.88x = 317,530.62
  5. Step 5: Solve for x
    x = 317,530.62/543.88
  6. Step 6: Final answer
    x = 583.82

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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.