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Finding the Fourth Proportional to 787.51, 1,181.45 and 267.50

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Solution

The fourth proportional to 787.51, 1,181.45 and 267.50 is: 401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.51 : 1,181.45 = 267.50 : x
  2. Step 2: Convert to fraction form
    787.51/1,181.45 = 267.50/x
  3. Step 3: Cross multiply
    787.51x = 1,181.45 × 267.50
  4. Step 4: Simplify right side
    787.51x = 316,040.37
  5. Step 5: Solve for x
    x = 316,040.37/787.51
  6. Step 6: Final answer
    x = 401.32

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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.