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Finding the Fourth Proportional to 564.67, 780.72 and 556.39

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Solution

The fourth proportional to 564.67, 780.72 and 556.39 is: 769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.67 : 780.72 = 556.39 : x
  2. Step 2: Convert to fraction form
    564.67/780.72 = 556.39/x
  3. Step 3: Cross multiply
    564.67x = 780.72 × 556.39
  4. Step 4: Simplify right side
    564.67x = 434,384.80
  5. Step 5: Solve for x
    x = 434,384.80/564.67
  6. Step 6: Final answer
    x = 769.27

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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.