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Finding the Fourth Proportional to 576.76, 865.20 and 288.12

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Solution

The fourth proportional to 576.76, 865.20 and 288.12 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.76 : 865.20 = 288.12 : x
  2. Step 2: Convert to fraction form
    576.76/865.20 = 288.12/x
  3. Step 3: Cross multiply
    576.76x = 865.20 × 288.12
  4. Step 4: Simplify right side
    576.76x = 249,281.42
  5. Step 5: Solve for x
    x = 249,281.42/576.76
  6. Step 6: Final answer
    x = 432.21

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Similar ratio
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1.5x scale

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.