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Finding the Fourth Proportional to 977.36, 1,465.11 and 327.63

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Solution

The fourth proportional to 977.36, 1,465.11 and 327.63 is: 491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.36 : 1,465.11 = 327.63 : x
  2. Step 2: Convert to fraction form
    977.36/1,465.11 = 327.63/x
  3. Step 3: Cross multiply
    977.36x = 1,465.11 × 327.63
  4. Step 4: Simplify right side
    977.36x = 480,013.99
  5. Step 5: Solve for x
    x = 480,013.99/977.36
  6. Step 6: Final answer
    x = 491.13

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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.