Home / 1,215.12-1,823.36-565.85

Finding the Fourth Proportional to 1,215.12, 1,823.36 and 565.85

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Solution

The fourth proportional to 1,215.12, 1,823.36 and 565.85 is: 849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.12 : 1,823.36 = 565.85 : x
  2. Step 2: Convert to fraction form
    1,215.12/1,823.36 = 565.85/x
  3. Step 3: Cross multiply
    1,215.12x = 1,823.36 × 565.85
  4. Step 4: Simplify right side
    1,215.12x = 1,031,753.17
  5. Step 5: Solve for x
    x = 1,031,753.17/1,215.12
  6. Step 6: Final answer
    x = 849.10

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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.