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Finding the Fourth Proportional to 469.42, 698.60 and 452.14

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Solution

The fourth proportional to 469.42, 698.60 and 452.14 is: 672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.42 : 698.60 = 452.14 : x
  2. Step 2: Convert to fraction form
    469.42/698.60 = 452.14/x
  3. Step 3: Cross multiply
    469.42x = 698.60 × 452.14
  4. Step 4: Simplify right side
    469.42x = 315,865.00
  5. Step 5: Solve for x
    x = 315,865.00/469.42
  6. Step 6: Final answer
    x = 672.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.