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Finding the Fourth Proportional to 746.76, 1,115.07 and 695.73

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Solution

The fourth proportional to 746.76, 1,115.07 and 695.73 is: 1,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.76 : 1,115.07 = 695.73 : x
  2. Step 2: Convert to fraction form
    746.76/1,115.07 = 695.73/x
  3. Step 3: Cross multiply
    746.76x = 1,115.07 × 695.73
  4. Step 4: Simplify right side
    746.76x = 775,787.65
  5. Step 5: Solve for x
    x = 775,787.65/746.76
  6. Step 6: Final answer
    x = 1,038.87

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1.5x scale

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.