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Finding the Fourth Proportional to 787.54, 1,182.12 and 644.98

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Solution

The fourth proportional to 787.54, 1,182.12 and 644.98 is: 968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.54 : 1,182.12 = 644.98 : x
  2. Step 2: Convert to fraction form
    787.54/1,182.12 = 644.98/x
  3. Step 3: Cross multiply
    787.54x = 1,182.12 × 644.98
  4. Step 4: Simplify right side
    787.54x = 762,443.76
  5. Step 5: Solve for x
    x = 762,443.76/787.54
  6. Step 6: Final answer
    x = 968.13

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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.