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Finding the Fourth Proportional to 1,220.39, 1,830.08 and 469.79

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Solution

The fourth proportional to 1,220.39, 1,830.08 and 469.79 is: 704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.39 : 1,830.08 = 469.79 : x
  2. Step 2: Convert to fraction form
    1,220.39/1,830.08 = 469.79/x
  3. Step 3: Cross multiply
    1,220.39x = 1,830.08 × 469.79
  4. Step 4: Simplify right side
    1,220.39x = 859,753.28
  5. Step 5: Solve for x
    x = 859,753.28/1,220.39
  6. Step 6: Final answer
    x = 704.49

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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.