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Finding the Fourth Proportional to 740.82, 1,022.14 and 421.71

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Solution

The fourth proportional to 740.82, 1,022.14 and 421.71 is: 581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.82 : 1,022.14 = 421.71 : x
  2. Step 2: Convert to fraction form
    740.82/1,022.14 = 421.71/x
  3. Step 3: Cross multiply
    740.82x = 1,022.14 × 421.71
  4. Step 4: Simplify right side
    740.82x = 431,049.21
  5. Step 5: Solve for x
    x = 431,049.21/740.82
  6. Step 6: Final answer
    x = 581.86

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1.5x scale

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.