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Finding the Fourth Proportional to 1,220.29, 1,830.72 and 354.53

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Solution

The fourth proportional to 1,220.29, 1,830.72 and 354.53 is: 531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.29 : 1,830.72 = 354.53 : x
  2. Step 2: Convert to fraction form
    1,220.29/1,830.72 = 354.53/x
  3. Step 3: Cross multiply
    1,220.29x = 1,830.72 × 354.53
  4. Step 4: Simplify right side
    1,220.29x = 649,045.16
  5. Step 5: Solve for x
    x = 649,045.16/1,220.29
  6. Step 6: Final answer
    x = 531.88

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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.