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Finding the Fourth Proportional to 565.03, 847.56 and 276.40

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Solution

The fourth proportional to 565.03, 847.56 and 276.40 is: 414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.03 : 847.56 = 276.40 : x
  2. Step 2: Convert to fraction form
    565.03/847.56 = 276.40/x
  3. Step 3: Cross multiply
    565.03x = 847.56 × 276.40
  4. Step 4: Simplify right side
    565.03x = 234,265.58
  5. Step 5: Solve for x
    x = 234,265.58/565.03
  6. Step 6: Final answer
    x = 414.61

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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.