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Finding the Fourth Proportional to 576.60, 809.40 and 576.60

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Solution

The fourth proportional to 576.60, 809.40 and 576.60 is: 809.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.60 : 809.40 = 576.60 : x
  2. Step 2: Convert to fraction form
    576.60/809.40 = 576.60/x
  3. Step 3: Cross multiply
    576.60x = 809.40 × 576.60
  4. Step 4: Simplify right side
    576.60x = 466,700.04
  5. Step 5: Solve for x
    x = 466,700.04/576.60
  6. Step 6: Final answer
    x = 809.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.