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Finding the Fourth Proportional to 567.28, 843.80 and 547.30

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Solution

The fourth proportional to 567.28, 843.80 and 547.30 is: 814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.28 : 843.80 = 547.30 : x
  2. Step 2: Convert to fraction form
    567.28/843.80 = 547.30/x
  3. Step 3: Cross multiply
    567.28x = 843.80 × 547.30
  4. Step 4: Simplify right side
    567.28x = 461,811.74
  5. Step 5: Solve for x
    x = 461,811.74/567.28
  6. Step 6: Final answer
    x = 814.08

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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.