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Finding the Fourth Proportional to 754.65, 1,137.12 and 620.70

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Solution

The fourth proportional to 754.65, 1,137.12 and 620.70 is: 935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.65 : 1,137.12 = 620.70 : x
  2. Step 2: Convert to fraction form
    754.65/1,137.12 = 620.70/x
  3. Step 3: Cross multiply
    754.65x = 1,137.12 × 620.70
  4. Step 4: Simplify right side
    754.65x = 705,803.79
  5. Step 5: Solve for x
    x = 705,803.79/754.65
  6. Step 6: Final answer
    x = 935.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.