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Finding the Fourth Proportional to 727.56, 1,085.72 and 649.69

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Solution

The fourth proportional to 727.56, 1,085.72 and 649.69 is: 969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.56 : 1,085.72 = 649.69 : x
  2. Step 2: Convert to fraction form
    727.56/1,085.72 = 649.69/x
  3. Step 3: Cross multiply
    727.56x = 1,085.72 × 649.69
  4. Step 4: Simplify right side
    727.56x = 705,372.75
  5. Step 5: Solve for x
    x = 705,372.75/727.56
  6. Step 6: Final answer
    x = 969.50

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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.