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Finding the Fourth Proportional to 1,289.33, 1,934.81 and 631.61

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Solution

The fourth proportional to 1,289.33, 1,934.81 and 631.61 is: 947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.33 : 1,934.81 = 631.61 : x
  2. Step 2: Convert to fraction form
    1,289.33/1,934.81 = 631.61/x
  3. Step 3: Cross multiply
    1,289.33x = 1,934.81 × 631.61
  4. Step 4: Simplify right side
    1,289.33x = 1,222,051.76
  5. Step 5: Solve for x
    x = 1,222,051.76/1,289.33
  6. Step 6: Final answer
    x = 947.82

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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.