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Finding the Fourth Proportional to 713.65, 977.44 and 671.61

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Solution

The fourth proportional to 713.65, 977.44 and 671.61 is: 919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.65 : 977.44 = 671.61 : x
  2. Step 2: Convert to fraction form
    713.65/977.44 = 671.61/x
  3. Step 3: Cross multiply
    713.65x = 977.44 × 671.61
  4. Step 4: Simplify right side
    713.65x = 656,458.48
  5. Step 5: Solve for x
    x = 656,458.48/713.65
  6. Step 6: Final answer
    x = 919.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.