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Finding the Fourth Proportional to 1,123, 1,688.28 and 880

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Solution

The fourth proportional to 1,123, 1,688.28 and 880 is: 1,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123 : 1,688.28 = 880 : x
  2. Step 2: Convert to fraction form
    1,123/1,688.28 = 880/x
  3. Step 3: Cross multiply
    1,123x = 1,688.28 × 880
  4. Step 4: Simplify right side
    1,123x = 1,485,686.40
  5. Step 5: Solve for x
    x = 1,485,686.40/1,123
  6. Step 6: Final answer
    x = 1,322.96

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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.