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Finding the Fourth Proportional to 787.01, 1,174.11 and 748.73

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Solution

The fourth proportional to 787.01, 1,174.11 and 748.73 is: 1,117.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.01 : 1,174.11 = 748.73 : x
  2. Step 2: Convert to fraction form
    787.01/1,174.11 = 748.73/x
  3. Step 3: Cross multiply
    787.01x = 1,174.11 × 748.73
  4. Step 4: Simplify right side
    787.01x = 879,085.51
  5. Step 5: Solve for x
    x = 879,085.51/787.01
  6. Step 6: Final answer
    x = 1,117.00

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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.