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Finding the Fourth Proportional to 1,301.50, 1,952.54 and 411.99

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Solution

The fourth proportional to 1,301.50, 1,952.54 and 411.99 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.50 : 1,952.54 = 411.99 : x
  2. Step 2: Convert to fraction form
    1,301.50/1,952.54 = 411.99/x
  3. Step 3: Cross multiply
    1,301.50x = 1,952.54 × 411.99
  4. Step 4: Simplify right side
    1,301.50x = 804,419.12
  5. Step 5: Solve for x
    x = 804,419.12/1,301.50
  6. Step 6: Final answer
    x = 618.07

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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.