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Finding the Fourth Proportional to 1,301.06, 1,952.62 and 571.14

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Solution

The fourth proportional to 1,301.06, 1,952.62 and 571.14 is: 857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.06 : 1,952.62 = 571.14 : x
  2. Step 2: Convert to fraction form
    1,301.06/1,952.62 = 571.14/x
  3. Step 3: Cross multiply
    1,301.06x = 1,952.62 × 571.14
  4. Step 4: Simplify right side
    1,301.06x = 1,115,217.96
  5. Step 5: Solve for x
    x = 1,115,217.96/1,301.06
  6. Step 6: Final answer
    x = 857.16

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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.