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Finding the Fourth Proportional to 908.64, 1,253.70 and 613.80

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Solution

The fourth proportional to 908.64, 1,253.70 and 613.80 is: 846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.64 : 1,253.70 = 613.80 : x
  2. Step 2: Convert to fraction form
    908.64/1,253.70 = 613.80/x
  3. Step 3: Cross multiply
    908.64x = 1,253.70 × 613.80
  4. Step 4: Simplify right side
    908.64x = 769,521.06
  5. Step 5: Solve for x
    x = 769,521.06/908.64
  6. Step 6: Final answer
    x = 846.89

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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.