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Finding the Fourth Proportional to 984.25, 1,477.05 and 636.72

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Solution

The fourth proportional to 984.25, 1,477.05 and 636.72 is: 955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.25 : 1,477.05 = 636.72 : x
  2. Step 2: Convert to fraction form
    984.25/1,477.05 = 636.72/x
  3. Step 3: Cross multiply
    984.25x = 1,477.05 × 636.72
  4. Step 4: Simplify right side
    984.25x = 940,462.93
  5. Step 5: Solve for x
    x = 940,462.93/984.25
  6. Step 6: Final answer
    x = 955.52

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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.