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Finding the Fourth Proportional to 833.35, 1,247.32 and 613.89

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Solution

The fourth proportional to 833.35, 1,247.32 and 613.89 is: 918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.35 : 1,247.32 = 613.89 : x
  2. Step 2: Convert to fraction form
    833.35/1,247.32 = 613.89/x
  3. Step 3: Cross multiply
    833.35x = 1,247.32 × 613.89
  4. Step 4: Simplify right side
    833.35x = 765,721.42
  5. Step 5: Solve for x
    x = 765,721.42/833.35
  6. Step 6: Final answer
    x = 918.84

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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.