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Finding the Fourth Proportional to 832.51, 1,247.55 and 649

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Solution

The fourth proportional to 832.51, 1,247.55 and 649 is: 972.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.51 : 1,247.55 = 649 : x
  2. Step 2: Convert to fraction form
    832.51/1,247.55 = 649/x
  3. Step 3: Cross multiply
    832.51x = 1,247.55 × 649
  4. Step 4: Simplify right side
    832.51x = 809,659.95
  5. Step 5: Solve for x
    x = 809,659.95/832.51
  6. Step 6: Final answer
    x = 972.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.