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Finding the Fourth Proportional to 1,276.32, 1,913.87 and 582.56

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Solution

The fourth proportional to 1,276.32, 1,913.87 and 582.56 is: 873.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.32 : 1,913.87 = 582.56 : x
  2. Step 2: Convert to fraction form
    1,276.32/1,913.87 = 582.56/x
  3. Step 3: Cross multiply
    1,276.32x = 1,913.87 × 582.56
  4. Step 4: Simplify right side
    1,276.32x = 1,114,944.11
  5. Step 5: Solve for x
    x = 1,114,944.11/1,276.32
  6. Step 6: Final answer
    x = 873.56

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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.