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Finding the Fourth Proportional to 669, 997.47 and 632.28

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Solution

The fourth proportional to 669, 997.47 and 632.28 is: 942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    669 : 997.47 = 632.28 : x
  2. Step 2: Convert to fraction form
    669/997.47 = 632.28/x
  3. Step 3: Cross multiply
    669x = 997.47 × 632.28
  4. Step 4: Simplify right side
    669x = 630,680.33
  5. Step 5: Solve for x
    x = 630,680.33/669
  6. Step 6: Final answer
    x = 942.72

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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.