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Finding the Fourth Proportional to 908.73, 1,254.11 and 510.42

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Solution

The fourth proportional to 908.73, 1,254.11 and 510.42 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.73 : 1,254.11 = 510.42 : x
  2. Step 2: Convert to fraction form
    908.73/1,254.11 = 510.42/x
  3. Step 3: Cross multiply
    908.73x = 1,254.11 × 510.42
  4. Step 4: Simplify right side
    908.73x = 640,120.27
  5. Step 5: Solve for x
    x = 640,120.27/908.73
  6. Step 6: Final answer
    x = 704.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.