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Finding the Fourth Proportional to 1,280.56, 1,917.32 and 971.52

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Solution

The fourth proportional to 1,280.56, 1,917.32 and 971.52 is: 1,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.56 : 1,917.32 = 971.52 : x
  2. Step 2: Convert to fraction form
    1,280.56/1,917.32 = 971.52/x
  3. Step 3: Cross multiply
    1,280.56x = 1,917.32 × 971.52
  4. Step 4: Simplify right side
    1,280.56x = 1,862,714.73
  5. Step 5: Solve for x
    x = 1,862,714.73/1,280.56
  6. Step 6: Final answer
    x = 1,454.61

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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.