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Finding the Fourth Proportional to 977.15, 1,465.22 and 327.67

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Solution

The fourth proportional to 977.15, 1,465.22 and 327.67 is: 491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.15 : 1,465.22 = 327.67 : x
  2. Step 2: Convert to fraction form
    977.15/1,465.22 = 327.67/x
  3. Step 3: Cross multiply
    977.15x = 1,465.22 × 327.67
  4. Step 4: Simplify right side
    977.15x = 480,105.79
  5. Step 5: Solve for x
    x = 480,105.79/977.15
  6. Step 6: Final answer
    x = 491.33

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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.