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Finding the Fourth Proportional to 874.21, 1,206.45 and 542.74

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Solution

The fourth proportional to 874.21, 1,206.45 and 542.74 is: 749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.21 : 1,206.45 = 542.74 : x
  2. Step 2: Convert to fraction form
    874.21/1,206.45 = 542.74/x
  3. Step 3: Cross multiply
    874.21x = 1,206.45 × 542.74
  4. Step 4: Simplify right side
    874.21x = 654,785.96
  5. Step 5: Solve for x
    x = 654,785.96/874.21
  6. Step 6: Final answer
    x = 749.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.