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Finding the Fourth Proportional to 1,001.35, 1,380.63 and 823.69

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Solution

The fourth proportional to 1,001.35, 1,380.63 and 823.69 is: 1,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.35 : 1,380.63 = 823.69 : x
  2. Step 2: Convert to fraction form
    1,001.35/1,380.63 = 823.69/x
  3. Step 3: Cross multiply
    1,001.35x = 1,380.63 × 823.69
  4. Step 4: Simplify right side
    1,001.35x = 1,137,207.67
  5. Step 5: Solve for x
    x = 1,137,207.67/1,001.35
  6. Step 6: Final answer
    x = 1,135.68

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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.