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Finding the Fourth Proportional to 727.64, 1,085.87 and 649.79

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Solution

The fourth proportional to 727.64, 1,085.87 and 649.79 is: 969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.64 : 1,085.87 = 649.79 : x
  2. Step 2: Convert to fraction form
    727.64/1,085.87 = 649.79/x
  3. Step 3: Cross multiply
    727.64x = 1,085.87 × 649.79
  4. Step 4: Simplify right side
    727.64x = 705,592.42
  5. Step 5: Solve for x
    x = 705,592.42/727.64
  6. Step 6: Final answer
    x = 969.70

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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.