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Finding the Fourth Proportional to 1,297.74, 1,788.75 and 1,002.90

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Solution

The fourth proportional to 1,297.74, 1,788.75 and 1,002.90 is: 1,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.74 : 1,788.75 = 1,002.90 : x
  2. Step 2: Convert to fraction form
    1,297.74/1,788.75 = 1,002.90/x
  3. Step 3: Cross multiply
    1,297.74x = 1,788.75 × 1,002.90
  4. Step 4: Simplify right side
    1,297.74x = 1,793,937.38
  5. Step 5: Solve for x
    x = 1,793,937.38/1,297.74
  6. Step 6: Final answer
    x = 1,382.35

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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.