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Finding the Fourth Proportional to 880.85, 1,215.50 and 787.29

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Solution

The fourth proportional to 880.85, 1,215.50 and 787.29 is: 1,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.85 : 1,215.50 = 787.29 : x
  2. Step 2: Convert to fraction form
    880.85/1,215.50 = 787.29/x
  3. Step 3: Cross multiply
    880.85x = 1,215.50 × 787.29
  4. Step 4: Simplify right side
    880.85x = 956,947.06
  5. Step 5: Solve for x
    x = 956,947.06/880.85
  6. Step 6: Final answer
    x = 1,086.40

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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.