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Finding the Fourth Proportional to 543.26, 813.91 and 465.46

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Solution

The fourth proportional to 543.26, 813.91 and 465.46 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.26 : 813.91 = 465.46 : x
  2. Step 2: Convert to fraction form
    543.26/813.91 = 465.46/x
  3. Step 3: Cross multiply
    543.26x = 813.91 × 465.46
  4. Step 4: Simplify right side
    543.26x = 378,842.55
  5. Step 5: Solve for x
    x = 378,842.55/543.26
  6. Step 6: Final answer
    x = 697.35

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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.