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Finding the Fourth Proportional to 938.80, 1,407.79 and 289.18

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Solution

The fourth proportional to 938.80, 1,407.79 and 289.18 is: 433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.80 : 1,407.79 = 289.18 : x
  2. Step 2: Convert to fraction form
    938.80/1,407.79 = 289.18/x
  3. Step 3: Cross multiply
    938.80x = 1,407.79 × 289.18
  4. Step 4: Simplify right side
    938.80x = 407,104.71
  5. Step 5: Solve for x
    x = 407,104.71/938.80
  6. Step 6: Final answer
    x = 433.64

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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.