Home / 1,214.18-1,821.19-597.72

Finding the Fourth Proportional to 1,214.18, 1,821.19 and 597.72

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Solution

The fourth proportional to 1,214.18, 1,821.19 and 597.72 is: 896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.18 : 1,821.19 = 597.72 : x
  2. Step 2: Convert to fraction form
    1,214.18/1,821.19 = 597.72/x
  3. Step 3: Cross multiply
    1,214.18x = 1,821.19 × 597.72
  4. Step 4: Simplify right side
    1,214.18x = 1,088,561.69
  5. Step 5: Solve for x
    x = 1,088,561.69/1,214.18
  6. Step 6: Final answer
    x = 896.54

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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.