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Finding the Fourth Proportional to 458.84, 691.78 and 427.52

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Solution

The fourth proportional to 458.84, 691.78 and 427.52 is: 644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.84 : 691.78 = 427.52 : x
  2. Step 2: Convert to fraction form
    458.84/691.78 = 427.52/x
  3. Step 3: Cross multiply
    458.84x = 691.78 × 427.52
  4. Step 4: Simplify right side
    458.84x = 295,749.79
  5. Step 5: Solve for x
    x = 295,749.79/458.84
  6. Step 6: Final answer
    x = 644.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.