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Finding the Fourth Proportional to 908.24, 1,253.40 and 494.24

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Solution

The fourth proportional to 908.24, 1,253.40 and 494.24 is: 682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.24 : 1,253.40 = 494.24 : x
  2. Step 2: Convert to fraction form
    908.24/1,253.40 = 494.24/x
  3. Step 3: Cross multiply
    908.24x = 1,253.40 × 494.24
  4. Step 4: Simplify right side
    908.24x = 619,480.42
  5. Step 5: Solve for x
    x = 619,480.42/908.24
  6. Step 6: Final answer
    x = 682.07

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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.