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Finding the Fourth Proportional to 1,125.76, 1,552.08 and 890.32

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Solution

The fourth proportional to 1,125.76, 1,552.08 and 890.32 is: 1,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.76 : 1,552.08 = 890.32 : x
  2. Step 2: Convert to fraction form
    1,125.76/1,552.08 = 890.32/x
  3. Step 3: Cross multiply
    1,125.76x = 1,552.08 × 890.32
  4. Step 4: Simplify right side
    1,125.76x = 1,381,847.87
  5. Step 5: Solve for x
    x = 1,381,847.87/1,125.76
  6. Step 6: Final answer
    x = 1,227.48

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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.