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Finding the Fourth Proportional to 576.96, 865.71 and 288.42

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Solution

The fourth proportional to 576.96, 865.71 and 288.42 is: 432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.96 : 865.71 = 288.42 : x
  2. Step 2: Convert to fraction form
    576.96/865.71 = 288.42/x
  3. Step 3: Cross multiply
    576.96x = 865.71 × 288.42
  4. Step 4: Simplify right side
    576.96x = 249,688.08
  5. Step 5: Solve for x
    x = 249,688.08/576.96
  6. Step 6: Final answer
    x = 432.76

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Double scale
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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.