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Finding the Fourth Proportional to 1,254.34, 1,878.04 and 945.26

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Solution

The fourth proportional to 1,254.34, 1,878.04 and 945.26 is: 1,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.34 : 1,878.04 = 945.26 : x
  2. Step 2: Convert to fraction form
    1,254.34/1,878.04 = 945.26/x
  3. Step 3: Cross multiply
    1,254.34x = 1,878.04 × 945.26
  4. Step 4: Simplify right side
    1,254.34x = 1,775,229.61
  5. Step 5: Solve for x
    x = 1,775,229.61/1,254.34
  6. Step 6: Final answer
    x = 1,415.27

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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.