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Finding the Fourth Proportional to 564.15, 778.07 and 343.10

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Solution

The fourth proportional to 564.15, 778.07 and 343.10 is: 473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.15 : 778.07 = 343.10 : x
  2. Step 2: Convert to fraction form
    564.15/778.07 = 343.10/x
  3. Step 3: Cross multiply
    564.15x = 778.07 × 343.10
  4. Step 4: Simplify right side
    564.15x = 266,952.78
  5. Step 5: Solve for x
    x = 266,952.78/564.15
  6. Step 6: Final answer
    x = 473.19

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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.