Home / 1,214.24-1,822.17-565.02

Finding the Fourth Proportional to 1,214.24, 1,822.17 and 565.02

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Solution

The fourth proportional to 1,214.24, 1,822.17 and 565.02 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.24 : 1,822.17 = 565.02 : x
  2. Step 2: Convert to fraction form
    1,214.24/1,822.17 = 565.02/x
  3. Step 3: Cross multiply
    1,214.24x = 1,822.17 × 565.02
  4. Step 4: Simplify right side
    1,214.24x = 1,029,562.49
  5. Step 5: Solve for x
    x = 1,029,562.49/1,214.24
  6. Step 6: Final answer
    x = 847.91

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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.