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Finding the Fourth Proportional to 977.82, 1,466.75 and 247.42

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Solution

The fourth proportional to 977.82, 1,466.75 and 247.42 is: 371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.82 : 1,466.75 = 247.42 : x
  2. Step 2: Convert to fraction form
    977.82/1,466.75 = 247.42/x
  3. Step 3: Cross multiply
    977.82x = 1,466.75 × 247.42
  4. Step 4: Simplify right side
    977.82x = 362,903.29
  5. Step 5: Solve for x
    x = 362,903.29/977.82
  6. Step 6: Final answer
    x = 371.14

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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.