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Finding the Fourth Proportional to 908.30, 1,250.70 and 783.74

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Solution

The fourth proportional to 908.30, 1,250.70 and 783.74 is: 1,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.30 : 1,250.70 = 783.74 : x
  2. Step 2: Convert to fraction form
    908.30/1,250.70 = 783.74/x
  3. Step 3: Cross multiply
    908.30x = 1,250.70 × 783.74
  4. Step 4: Simplify right side
    908.30x = 980,223.62
  5. Step 5: Solve for x
    x = 980,223.62/908.30
  6. Step 6: Final answer
    x = 1,079.18

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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.