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Finding the Fourth Proportional to 987.82, 1,362.49 and 633.76

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Solution

The fourth proportional to 987.82, 1,362.49 and 633.76 is: 874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.82 : 1,362.49 = 633.76 : x
  2. Step 2: Convert to fraction form
    987.82/1,362.49 = 633.76/x
  3. Step 3: Cross multiply
    987.82x = 1,362.49 × 633.76
  4. Step 4: Simplify right side
    987.82x = 863,486.67
  5. Step 5: Solve for x
    x = 863,486.67/987.82
  6. Step 6: Final answer
    x = 874.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.