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Finding the Fourth Proportional to 1,289.39, 1,934.12 and 315.49

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Solution

The fourth proportional to 1,289.39, 1,934.12 and 315.49 is: 473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.39 : 1,934.12 = 315.49 : x
  2. Step 2: Convert to fraction form
    1,289.39/1,934.12 = 315.49/x
  3. Step 3: Cross multiply
    1,289.39x = 1,934.12 × 315.49
  4. Step 4: Simplify right side
    1,289.39x = 610,201.54
  5. Step 5: Solve for x
    x = 610,201.54/1,289.39
  6. Step 6: Final answer
    x = 473.25

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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.