Home / 1,119.04-1,543.30-787.35

Finding the Fourth Proportional to 1,119.04, 1,543.30 and 787.35

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Solution

The fourth proportional to 1,119.04, 1,543.30 and 787.35 is: 1,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.04 : 1,543.30 = 787.35 : x
  2. Step 2: Convert to fraction form
    1,119.04/1,543.30 = 787.35/x
  3. Step 3: Cross multiply
    1,119.04x = 1,543.30 × 787.35
  4. Step 4: Simplify right side
    1,119.04x = 1,215,117.26
  5. Step 5: Solve for x
    x = 1,215,117.26/1,119.04
  6. Step 6: Final answer
    x = 1,085.86

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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.