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Finding the Fourth Proportional to 584.86, 876.92 and 276.28

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Solution

The fourth proportional to 584.86, 876.92 and 276.28 is: 414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.86 : 876.92 = 276.28 : x
  2. Step 2: Convert to fraction form
    584.86/876.92 = 276.28/x
  3. Step 3: Cross multiply
    584.86x = 876.92 × 276.28
  4. Step 4: Simplify right side
    584.86x = 242,275.46
  5. Step 5: Solve for x
    x = 242,275.46/584.86
  6. Step 6: Final answer
    x = 414.25

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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.