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Finding the Fourth Proportional to 1,259.22, 1,888.18 and 565.29

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Solution

The fourth proportional to 1,259.22, 1,888.18 and 565.29 is: 847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.22 : 1,888.18 = 565.29 : x
  2. Step 2: Convert to fraction form
    1,259.22/1,888.18 = 565.29/x
  3. Step 3: Cross multiply
    1,259.22x = 1,888.18 × 565.29
  4. Step 4: Simplify right side
    1,259.22x = 1,067,370.22
  5. Step 5: Solve for x
    x = 1,067,370.22/1,259.22
  6. Step 6: Final answer
    x = 847.65

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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.