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Finding the Fourth Proportional to 1,220.41, 1,829.53 and 933.13

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Solution

The fourth proportional to 1,220.41, 1,829.53 and 933.13 is: 1,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.41 : 1,829.53 = 933.13 : x
  2. Step 2: Convert to fraction form
    1,220.41/1,829.53 = 933.13/x
  3. Step 3: Cross multiply
    1,220.41x = 1,829.53 × 933.13
  4. Step 4: Simplify right side
    1,220.41x = 1,707,189.33
  5. Step 5: Solve for x
    x = 1,707,189.33/1,220.41
  6. Step 6: Final answer
    x = 1,398.87

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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.