Home / 1,215.38-1,822.25-565.76

Finding the Fourth Proportional to 1,215.38, 1,822.25 and 565.76

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Solution

The fourth proportional to 1,215.38, 1,822.25 and 565.76 is: 848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.38 : 1,822.25 = 565.76 : x
  2. Step 2: Convert to fraction form
    1,215.38/1,822.25 = 565.76/x
  3. Step 3: Cross multiply
    1,215.38x = 1,822.25 × 565.76
  4. Step 4: Simplify right side
    1,215.38x = 1,030,948.46
  5. Step 5: Solve for x
    x = 1,030,948.46/1,215.38
  6. Step 6: Final answer
    x = 848.26

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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.