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Finding the Fourth Proportional to 543.24, 813.64 and 421.13

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Solution

The fourth proportional to 543.24, 813.64 and 421.13 is: 630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 813.64 = 421.13 : x
  2. Step 2: Convert to fraction form
    543.24/813.64 = 421.13/x
  3. Step 3: Cross multiply
    543.24x = 813.64 × 421.13
  4. Step 4: Simplify right side
    543.24x = 342,648.21
  5. Step 5: Solve for x
    x = 342,648.21/543.24
  6. Step 6: Final answer
    x = 630.75

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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.