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Finding the Fourth Proportional to 632.12, 947.68 and 424.11

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Solution

The fourth proportional to 632.12, 947.68 and 424.11 is: 635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.12 : 947.68 = 424.11 : x
  2. Step 2: Convert to fraction form
    632.12/947.68 = 424.11/x
  3. Step 3: Cross multiply
    632.12x = 947.68 × 424.11
  4. Step 4: Simplify right side
    632.12x = 401,913.71
  5. Step 5: Solve for x
    x = 401,913.71/632.12
  6. Step 6: Final answer
    x = 635.82

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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.