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Finding the Fourth Proportional to 1,434.62, 1,979.30 and 874.88

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Solution

The fourth proportional to 1,434.62, 1,979.30 and 874.88 is: 1,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.62 : 1,979.30 = 874.88 : x
  2. Step 2: Convert to fraction form
    1,434.62/1,979.30 = 874.88/x
  3. Step 3: Cross multiply
    1,434.62x = 1,979.30 × 874.88
  4. Step 4: Simplify right side
    1,434.62x = 1,731,649.98
  5. Step 5: Solve for x
    x = 1,731,649.98/1,434.62
  6. Step 6: Final answer
    x = 1,207.04

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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.