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Finding the Fourth Proportional to 564.44, 779.10 and 546.20

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Solution

The fourth proportional to 564.44, 779.10 and 546.20 is: 753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 779.10 = 546.20 : x
  2. Step 2: Convert to fraction form
    564.44/779.10 = 546.20/x
  3. Step 3: Cross multiply
    564.44x = 779.10 × 546.20
  4. Step 4: Simplify right side
    564.44x = 425,544.42
  5. Step 5: Solve for x
    x = 425,544.42/564.44
  6. Step 6: Final answer
    x = 753.92

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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.