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Finding the Fourth Proportional to 1,260.32, 1,881.98 and 1,029.66

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Solution

The fourth proportional to 1,260.32, 1,881.98 and 1,029.66 is: 1,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.32 : 1,881.98 = 1,029.66 : x
  2. Step 2: Convert to fraction form
    1,260.32/1,881.98 = 1,029.66/x
  3. Step 3: Cross multiply
    1,260.32x = 1,881.98 × 1,029.66
  4. Step 4: Simplify right side
    1,260.32x = 1,937,794.38
  5. Step 5: Solve for x
    x = 1,937,794.38/1,260.32
  6. Step 6: Final answer
    x = 1,537.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.