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Finding the Fourth Proportional to 787.08, 1,174.65 and 755.30

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Solution

The fourth proportional to 787.08, 1,174.65 and 755.30 is: 1,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.08 : 1,174.65 = 755.30 : x
  2. Step 2: Convert to fraction form
    787.08/1,174.65 = 755.30/x
  3. Step 3: Cross multiply
    787.08x = 1,174.65 × 755.30
  4. Step 4: Simplify right side
    787.08x = 887,207.27
  5. Step 5: Solve for x
    x = 887,207.27/787.08
  6. Step 6: Final answer
    x = 1,127.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.