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Finding the Fourth Proportional to 564.34, 845.28 and 347.26

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Solution

The fourth proportional to 564.34, 845.28 and 347.26 is: 520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.34 : 845.28 = 347.26 : x
  2. Step 2: Convert to fraction form
    564.34/845.28 = 347.26/x
  3. Step 3: Cross multiply
    564.34x = 845.28 × 347.26
  4. Step 4: Simplify right side
    564.34x = 293,531.93
  5. Step 5: Solve for x
    x = 293,531.93/564.34
  6. Step 6: Final answer
    x = 520.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.