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Finding the Fourth Proportional to 543.20, 814.80 and 435.20

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Solution

The fourth proportional to 543.20, 814.80 and 435.20 is: 652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.20 : 814.80 = 435.20 : x
  2. Step 2: Convert to fraction form
    543.20/814.80 = 435.20/x
  3. Step 3: Cross multiply
    543.20x = 814.80 × 435.20
  4. Step 4: Simplify right side
    543.20x = 354,600.96
  5. Step 5: Solve for x
    x = 354,600.96/543.20
  6. Step 6: Final answer
    x = 652.80

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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.