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Finding the Fourth Proportional to 1,407.89, 2,112.80 and 542.21

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Solution

The fourth proportional to 1,407.89, 2,112.80 and 542.21 is: 813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.89 : 2,112.80 = 542.21 : x
  2. Step 2: Convert to fraction form
    1,407.89/2,112.80 = 542.21/x
  3. Step 3: Cross multiply
    1,407.89x = 2,112.80 × 542.21
  4. Step 4: Simplify right side
    1,407.89x = 1,145,568.01
  5. Step 5: Solve for x
    x = 1,145,568.01/1,407.89
  6. Step 6: Final answer
    x = 813.68

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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.