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Finding the Fourth Proportional to 984.75, 1,476.35 and 637.35

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Solution

The fourth proportional to 984.75, 1,476.35 and 637.35 is: 955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.75 : 1,476.35 = 637.35 : x
  2. Step 2: Convert to fraction form
    984.75/1,476.35 = 637.35/x
  3. Step 3: Cross multiply
    984.75x = 1,476.35 × 637.35
  4. Step 4: Simplify right side
    984.75x = 940,951.67
  5. Step 5: Solve for x
    x = 940,951.67/984.75
  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.