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Finding the Fourth Proportional to 642.19, 958.64 and 564.34

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Solution

The fourth proportional to 642.19, 958.64 and 564.34 is: 842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.19 : 958.64 = 564.34 : x
  2. Step 2: Convert to fraction form
    642.19/958.64 = 564.34/x
  3. Step 3: Cross multiply
    642.19x = 958.64 × 564.34
  4. Step 4: Simplify right side
    642.19x = 540,996.08
  5. Step 5: Solve for x
    x = 540,996.08/642.19
  6. Step 6: Final answer
    x = 842.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.