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Finding the Fourth Proportional to 564.48, 785.20 and 553.92

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Solution

The fourth proportional to 564.48, 785.20 and 553.92 is: 770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.48 : 785.20 = 553.92 : x
  2. Step 2: Convert to fraction form
    564.48/785.20 = 553.92/x
  3. Step 3: Cross multiply
    564.48x = 785.20 × 553.92
  4. Step 4: Simplify right side
    564.48x = 434,937.98
  5. Step 5: Solve for x
    x = 434,937.98/564.48
  6. Step 6: Final answer
    x = 770.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.