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Finding the Fourth Proportional to 1,134.58, 1,701.60 and 787.90

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Solution

The fourth proportional to 1,134.58, 1,701.60 and 787.90 is: 1,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.58 : 1,701.60 = 787.90 : x
  2. Step 2: Convert to fraction form
    1,134.58/1,701.60 = 787.90/x
  3. Step 3: Cross multiply
    1,134.58x = 1,701.60 × 787.90
  4. Step 4: Simplify right side
    1,134.58x = 1,340,690.64
  5. Step 5: Solve for x
    x = 1,340,690.64/1,134.58
  6. Step 6: Final answer
    x = 1,181.66

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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.