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Finding the Fourth Proportional to 564.38, 846.57 and 410.39

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Solution

The fourth proportional to 564.38, 846.57 and 410.39 is: 615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 846.57 = 410.39 : x
  2. Step 2: Convert to fraction form
    564.38/846.57 = 410.39/x
  3. Step 3: Cross multiply
    564.38x = 846.57 × 410.39
  4. Step 4: Simplify right side
    564.38x = 347,419.63
  5. Step 5: Solve for x
    x = 347,419.63/564.38
  6. Step 6: Final answer
    x = 615.58

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Why These Related Problems?

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