Home / 1,398.04-2,094.92-702.75

Finding the Fourth Proportional to 1,398.04, 2,094.92 and 702.75

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Solution

The fourth proportional to 1,398.04, 2,094.92 and 702.75 is: 1,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.04 : 2,094.92 = 702.75 : x
  2. Step 2: Convert to fraction form
    1,398.04/2,094.92 = 702.75/x
  3. Step 3: Cross multiply
    1,398.04x = 2,094.92 × 702.75
  4. Step 4: Simplify right side
    1,398.04x = 1,472,205.03
  5. Step 5: Solve for x
    x = 1,472,205.03/1,398.04
  6. Step 6: Final answer
    x = 1,053.05

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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.