Home / 1,213.61-1,821.50-564.71

Finding the Fourth Proportional to 1,213.61, 1,821.50 and 564.71

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Solution

The fourth proportional to 1,213.61, 1,821.50 and 564.71 is: 847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.61 : 1,821.50 = 564.71 : x
  2. Step 2: Convert to fraction form
    1,213.61/1,821.50 = 564.71/x
  3. Step 3: Cross multiply
    1,213.61x = 1,821.50 × 564.71
  4. Step 4: Simplify right side
    1,213.61x = 1,028,616.44
  5. Step 5: Solve for x
    x = 1,028,616.44/1,213.61
  6. Step 6: Final answer
    x = 847.57

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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.