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Finding the Fourth Proportional to 914.34, 1,371.36 and 452

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Solution

The fourth proportional to 914.34, 1,371.36 and 452 is: 677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.34 : 1,371.36 = 452 : x
  2. Step 2: Convert to fraction form
    914.34/1,371.36 = 452/x
  3. Step 3: Cross multiply
    914.34x = 1,371.36 × 452
  4. Step 4: Simplify right side
    914.34x = 619,854.72
  5. Step 5: Solve for x
    x = 619,854.72/914.34
  6. Step 6: Final answer
    x = 677.93

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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.