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Finding the Fourth Proportional to 576.30, 865.05 and 547.14

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Solution

The fourth proportional to 576.30, 865.05 and 547.14 is: 821.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.30 : 865.05 = 547.14 : x
  2. Step 2: Convert to fraction form
    576.30/865.05 = 547.14/x
  3. Step 3: Cross multiply
    576.30x = 865.05 × 547.14
  4. Step 4: Simplify right side
    576.30x = 473,303.46
  5. Step 5: Solve for x
    x = 473,303.46/576.30
  6. Step 6: Final answer
    x = 821.28

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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.