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Finding the Fourth Proportional to 1,255.30, 1,878.90 and 1,255.30

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Solution

The fourth proportional to 1,255.30, 1,878.90 and 1,255.30 is: 1,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.30 : 1,878.90 = 1,255.30 : x
  2. Step 2: Convert to fraction form
    1,255.30/1,878.90 = 1,255.30/x
  3. Step 3: Cross multiply
    1,255.30x = 1,878.90 × 1,255.30
  4. Step 4: Simplify right side
    1,255.30x = 2,358,583.17
  5. Step 5: Solve for x
    x = 2,358,583.17/1,255.30
  6. Step 6: Final answer
    x = 1,878.90

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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.