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Finding the Fourth Proportional to 1,125.77, 1,680.68 and 1,008.32

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Solution

The fourth proportional to 1,125.77, 1,680.68 and 1,008.32 is: 1,505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.77 : 1,680.68 = 1,008.32 : x
  2. Step 2: Convert to fraction form
    1,125.77/1,680.68 = 1,008.32/x
  3. Step 3: Cross multiply
    1,125.77x = 1,680.68 × 1,008.32
  4. Step 4: Simplify right side
    1,125.77x = 1,694,657.37
  5. Step 5: Solve for x
    x = 1,694,657.37/1,125.77
  6. Step 6: Final answer
    x = 1,505.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.