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Finding the Fourth Proportional to 1,045.56, 1,439.58 and 887.87

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Solution

The fourth proportional to 1,045.56, 1,439.58 and 887.87 is: 1,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.56 : 1,439.58 = 887.87 : x
  2. Step 2: Convert to fraction form
    1,045.56/1,439.58 = 887.87/x
  3. Step 3: Cross multiply
    1,045.56x = 1,439.58 × 887.87
  4. Step 4: Simplify right side
    1,045.56x = 1,278,152.70
  5. Step 5: Solve for x
    x = 1,278,152.70/1,045.56
  6. Step 6: Final answer
    x = 1,222.46

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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.