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Finding the Fourth Proportional to 938.07, 1,407.09 and 389.85

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Solution

The fourth proportional to 938.07, 1,407.09 and 389.85 is: 584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.07 : 1,407.09 = 389.85 : x
  2. Step 2: Convert to fraction form
    938.07/1,407.09 = 389.85/x
  3. Step 3: Cross multiply
    938.07x = 1,407.09 × 389.85
  4. Step 4: Simplify right side
    938.07x = 548,554.04
  5. Step 5: Solve for x
    x = 548,554.04/938.07
  6. Step 6: Final answer
    x = 584.77

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1.5x scale

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.