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Finding the Fourth Proportional to 564.84, 780.23 and 454.73

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Solution

The fourth proportional to 564.84, 780.23 and 454.73 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.84 : 780.23 = 454.73 : x
  2. Step 2: Convert to fraction form
    564.84/780.23 = 454.73/x
  3. Step 3: Cross multiply
    564.84x = 780.23 × 454.73
  4. Step 4: Simplify right side
    564.84x = 354,793.66
  5. Step 5: Solve for x
    x = 354,793.66/564.84
  6. Step 6: Final answer
    x = 628.13

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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.