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Finding the Fourth Proportional to 564.56, 772.24 and 556.10

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Solution

The fourth proportional to 564.56, 772.24 and 556.10 is: 760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.56 : 772.24 = 556.10 : x
  2. Step 2: Convert to fraction form
    564.56/772.24 = 556.10/x
  3. Step 3: Cross multiply
    564.56x = 772.24 × 556.10
  4. Step 4: Simplify right side
    564.56x = 429,442.66
  5. Step 5: Solve for x
    x = 429,442.66/564.56
  6. Step 6: Final answer
    x = 760.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.