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Finding the Fourth Proportional to 1,116.90, 1,676.06 and 787.63

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Solution

The fourth proportional to 1,116.90, 1,676.06 and 787.63 is: 1,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.90 : 1,676.06 = 787.63 : x
  2. Step 2: Convert to fraction form
    1,116.90/1,676.06 = 787.63/x
  3. Step 3: Cross multiply
    1,116.90x = 1,676.06 × 787.63
  4. Step 4: Simplify right side
    1,116.90x = 1,320,111.20
  5. Step 5: Solve for x
    x = 1,320,111.20/1,116.90
  6. Step 6: Final answer
    x = 1,181.95

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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.