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Finding the Fourth Proportional to 977.32, 1,467.72 and 938.18

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Solution

The fourth proportional to 977.32, 1,467.72 and 938.18 is: 1,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.32 : 1,467.72 = 938.18 : x
  2. Step 2: Convert to fraction form
    977.32/1,467.72 = 938.18/x
  3. Step 3: Cross multiply
    977.32x = 1,467.72 × 938.18
  4. Step 4: Simplify right side
    977.32x = 1,376,985.55
  5. Step 5: Solve for x
    x = 1,376,985.55/977.32
  6. Step 6: Final answer
    x = 1,408.94

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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.