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Finding the Fourth Proportional to 1,439.64, 1,985.50 and 886.68

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Solution

The fourth proportional to 1,439.64, 1,985.50 and 886.68 is: 1,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.64 : 1,985.50 = 886.68 : x
  2. Step 2: Convert to fraction form
    1,439.64/1,985.50 = 886.68/x
  3. Step 3: Cross multiply
    1,439.64x = 1,985.50 × 886.68
  4. Step 4: Simplify right side
    1,439.64x = 1,760,503.14
  5. Step 5: Solve for x
    x = 1,760,503.14/1,439.64
  6. Step 6: Final answer
    x = 1,222.88

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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.