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Finding the Fourth Proportional to 1,007.88, 1,515.18 and 826.62

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Solution

The fourth proportional to 1,007.88, 1,515.18 and 826.62 is: 1,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.88 : 1,515.18 = 826.62 : x
  2. Step 2: Convert to fraction form
    1,007.88/1,515.18 = 826.62/x
  3. Step 3: Cross multiply
    1,007.88x = 1,515.18 × 826.62
  4. Step 4: Simplify right side
    1,007.88x = 1,252,478.09
  5. Step 5: Solve for x
    x = 1,252,478.09/1,007.88
  6. Step 6: Final answer
    x = 1,242.69

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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.