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Finding the Fourth Proportional to 977.67, 1,467.18 and 891.54

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Solution

The fourth proportional to 977.67, 1,467.18 and 891.54 is: 1,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,467.18 = 891.54 : x
  2. Step 2: Convert to fraction form
    977.67/1,467.18 = 891.54/x
  3. Step 3: Cross multiply
    977.67x = 1,467.18 × 891.54
  4. Step 4: Simplify right side
    977.67x = 1,308,049.66
  5. Step 5: Solve for x
    x = 1,308,049.66/977.67
  6. Step 6: Final answer
    x = 1,337.93

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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.