Home / 1,224.10-1,835.76-402.18

Finding the Fourth Proportional to 1,224.10, 1,835.76 and 402.18

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Solution

The fourth proportional to 1,224.10, 1,835.76 and 402.18 is: 603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.10 : 1,835.76 = 402.18 : x
  2. Step 2: Convert to fraction form
    1,224.10/1,835.76 = 402.18/x
  3. Step 3: Cross multiply
    1,224.10x = 1,835.76 × 402.18
  4. Step 4: Simplify right side
    1,224.10x = 738,301.65
  5. Step 5: Solve for x
    x = 738,301.65/1,224.10
  6. Step 6: Final answer
    x = 603.14

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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.