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Finding the Fourth Proportional to 1,677.20, 2,514 and 703.04

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Solution

The fourth proportional to 1,677.20, 2,514 and 703.04 is: 1,053.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.20 : 2,514 = 703.04 : x
  2. Step 2: Convert to fraction form
    1,677.20/2,514 = 703.04/x
  3. Step 3: Cross multiply
    1,677.20x = 2,514 × 703.04
  4. Step 4: Simplify right side
    1,677.20x = 1,767,442.56
  5. Step 5: Solve for x
    x = 1,767,442.56/1,677.20
  6. Step 6: Final answer
    x = 1,053.81

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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.