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Finding the Fourth Proportional to 564.19, 845.42 and 358.12

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Solution

The fourth proportional to 564.19, 845.42 and 358.12 is: 536.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 845.42 = 358.12 : x
  2. Step 2: Convert to fraction form
    564.19/845.42 = 358.12/x
  3. Step 3: Cross multiply
    564.19x = 845.42 × 358.12
  4. Step 4: Simplify right side
    564.19x = 302,761.08
  5. Step 5: Solve for x
    x = 302,761.08/564.19
  6. Step 6: Final answer
    x = 536.63

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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.