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Finding the Fourth Proportional to 787.50, 1,174.86 and 749.22

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Solution

The fourth proportional to 787.50, 1,174.86 and 749.22 is: 1,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,174.86 = 749.22 : x
  2. Step 2: Convert to fraction form
    787.50/1,174.86 = 749.22/x
  3. Step 3: Cross multiply
    787.50x = 1,174.86 × 749.22
  4. Step 4: Simplify right side
    787.50x = 880,228.61
  5. Step 5: Solve for x
    x = 880,228.61/787.50
  6. Step 6: Final answer
    x = 1,117.75

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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.