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Finding the Fourth Proportional to 1,421.82, 2,132.82 and 497.34

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Solution

The fourth proportional to 1,421.82, 2,132.82 and 497.34 is: 746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.82 : 2,132.82 = 497.34 : x
  2. Step 2: Convert to fraction form
    1,421.82/2,132.82 = 497.34/x
  3. Step 3: Cross multiply
    1,421.82x = 2,132.82 × 497.34
  4. Step 4: Simplify right side
    1,421.82x = 1,060,736.70
  5. Step 5: Solve for x
    x = 1,060,736.70/1,421.82
  6. Step 6: Final answer
    x = 746.04

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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.