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Finding the Fourth Proportional to 938.75, 1,406.93 and 445.16

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Solution

The fourth proportional to 938.75, 1,406.93 and 445.16 is: 667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.75 : 1,406.93 = 445.16 : x
  2. Step 2: Convert to fraction form
    938.75/1,406.93 = 445.16/x
  3. Step 3: Cross multiply
    938.75x = 1,406.93 × 445.16
  4. Step 4: Simplify right side
    938.75x = 626,308.96
  5. Step 5: Solve for x
    x = 626,308.96/938.75
  6. Step 6: Final answer
    x = 667.17

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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.