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Finding the Fourth Proportional to 1,301.43, 1,952.22 and 377.07

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Solution

The fourth proportional to 1,301.43, 1,952.22 and 377.07 is: 565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.43 : 1,952.22 = 377.07 : x
  2. Step 2: Convert to fraction form
    1,301.43/1,952.22 = 377.07/x
  3. Step 3: Cross multiply
    1,301.43x = 1,952.22 × 377.07
  4. Step 4: Simplify right side
    1,301.43x = 736,123.60
  5. Step 5: Solve for x
    x = 736,123.60/1,301.43
  6. Step 6: Final answer
    x = 565.63

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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.