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Finding the Fourth Proportional to 927.65, 1,279.40 and 648.81

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Solution

The fourth proportional to 927.65, 1,279.40 and 648.81 is: 894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.65 : 1,279.40 = 648.81 : x
  2. Step 2: Convert to fraction form
    927.65/1,279.40 = 648.81/x
  3. Step 3: Cross multiply
    927.65x = 1,279.40 × 648.81
  4. Step 4: Simplify right side
    927.65x = 830,084.27
  5. Step 5: Solve for x
    x = 830,084.27/927.65
  6. Step 6: Final answer
    x = 894.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.