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Finding the Fourth Proportional to 839.06, 1,256.55 and 427.58

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Solution

The fourth proportional to 839.06, 1,256.55 and 427.58 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.06 : 1,256.55 = 427.58 : x
  2. Step 2: Convert to fraction form
    839.06/1,256.55 = 427.58/x
  3. Step 3: Cross multiply
    839.06x = 1,256.55 × 427.58
  4. Step 4: Simplify right side
    839.06x = 537,275.65
  5. Step 5: Solve for x
    x = 537,275.65/839.06
  6. Step 6: Final answer
    x = 640.33

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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.