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Finding the Fourth Proportional to 625.80, 863.64 and 543.18

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Solution

The fourth proportional to 625.80, 863.64 and 543.18 is: 749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.80 : 863.64 = 543.18 : x
  2. Step 2: Convert to fraction form
    625.80/863.64 = 543.18/x
  3. Step 3: Cross multiply
    625.80x = 863.64 × 543.18
  4. Step 4: Simplify right side
    625.80x = 469,111.98
  5. Step 5: Solve for x
    x = 469,111.98/625.80
  6. Step 6: Final answer
    x = 749.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.