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Finding the Fourth Proportional to 642.64, 958.48 and 631.54

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Solution

The fourth proportional to 642.64, 958.48 and 631.54 is: 941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.64 : 958.48 = 631.54 : x
  2. Step 2: Convert to fraction form
    642.64/958.48 = 631.54/x
  3. Step 3: Cross multiply
    642.64x = 958.48 × 631.54
  4. Step 4: Simplify right side
    642.64x = 605,319.38
  5. Step 5: Solve for x
    x = 605,319.38/642.64
  6. Step 6: Final answer
    x = 941.92

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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.