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Finding the Fourth Proportional to 543.60, 810.90 and 488.88

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Solution

The fourth proportional to 543.60, 810.90 and 488.88 is: 729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 810.90 = 488.88 : x
  2. Step 2: Convert to fraction form
    543.60/810.90 = 488.88/x
  3. Step 3: Cross multiply
    543.60x = 810.90 × 488.88
  4. Step 4: Simplify right side
    543.60x = 396,432.79
  5. Step 5: Solve for x
    x = 396,432.79/543.60
  6. Step 6: Final answer
    x = 729.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.