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Finding the Fourth Proportional to 1,148.78, 1,585.44 and 1,005.68

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Solution

The fourth proportional to 1,148.78, 1,585.44 and 1,005.68 is: 1,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.78 : 1,585.44 = 1,005.68 : x
  2. Step 2: Convert to fraction form
    1,148.78/1,585.44 = 1,005.68/x
  3. Step 3: Cross multiply
    1,148.78x = 1,585.44 × 1,005.68
  4. Step 4: Simplify right side
    1,148.78x = 1,594,445.30
  5. Step 5: Solve for x
    x = 1,594,445.30/1,148.78
  6. Step 6: Final answer
    x = 1,387.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.