Home / 1,214.60-1,821.24-564.76

Finding the Fourth Proportional to 1,214.60, 1,821.24 and 564.76

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Solution

The fourth proportional to 1,214.60, 1,821.24 and 564.76 is: 846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.60 : 1,821.24 = 564.76 : x
  2. Step 2: Convert to fraction form
    1,214.60/1,821.24 = 564.76/x
  3. Step 3: Cross multiply
    1,214.60x = 1,821.24 × 564.76
  4. Step 4: Simplify right side
    1,214.60x = 1,028,563.50
  5. Step 5: Solve for x
    x = 1,028,563.50/1,214.60
  6. Step 6: Final answer
    x = 846.83

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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.