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Finding the Fourth Proportional to 1,220.13, 1,830.15 and 354.42

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Solution

The fourth proportional to 1,220.13, 1,830.15 and 354.42 is: 531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.13 : 1,830.15 = 354.42 : x
  2. Step 2: Convert to fraction form
    1,220.13/1,830.15 = 354.42/x
  3. Step 3: Cross multiply
    1,220.13x = 1,830.15 × 354.42
  4. Step 4: Simplify right side
    1,220.13x = 648,641.76
  5. Step 5: Solve for x
    x = 648,641.76/1,220.13
  6. Step 6: Final answer
    x = 531.62

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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.