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Finding the Fourth Proportional to 1,254.18, 1,878.54 and 765.75

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Solution

The fourth proportional to 1,254.18, 1,878.54 and 765.75 is: 1,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.18 : 1,878.54 = 765.75 : x
  2. Step 2: Convert to fraction form
    1,254.18/1,878.54 = 765.75/x
  3. Step 3: Cross multiply
    1,254.18x = 1,878.54 × 765.75
  4. Step 4: Simplify right side
    1,254.18x = 1,438,492.01
  5. Step 5: Solve for x
    x = 1,438,492.01/1,254.18
  6. Step 6: Final answer
    x = 1,146.96

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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.