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Finding the Fourth Proportional to 977.22, 1,465.38 and 327.78

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Solution

The fourth proportional to 977.22, 1,465.38 and 327.78 is: 491.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.22 : 1,465.38 = 327.78 : x
  2. Step 2: Convert to fraction form
    977.22/1,465.38 = 327.78/x
  3. Step 3: Cross multiply
    977.22x = 1,465.38 × 327.78
  4. Step 4: Simplify right side
    977.22x = 480,322.26
  5. Step 5: Solve for x
    x = 480,322.26/977.22
  6. Step 6: Final answer
    x = 491.52

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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.