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Finding the Fourth Proportional to 1,148.58, 1,731.36 and 1,081.68

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Solution

The fourth proportional to 1,148.58, 1,731.36 and 1,081.68 is: 1,630.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.58 : 1,731.36 = 1,081.68 : x
  2. Step 2: Convert to fraction form
    1,148.58/1,731.36 = 1,081.68/x
  3. Step 3: Cross multiply
    1,148.58x = 1,731.36 × 1,081.68
  4. Step 4: Simplify right side
    1,148.58x = 1,872,777.48
  5. Step 5: Solve for x
    x = 1,872,777.48/1,148.58
  6. Step 6: Final answer
    x = 1,630.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.