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Finding the Fourth Proportional to 1,285.91, 1,931.95 and 824.59

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Solution

The fourth proportional to 1,285.91, 1,931.95 and 824.59 is: 1,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.91 : 1,931.95 = 824.59 : x
  2. Step 2: Convert to fraction form
    1,285.91/1,931.95 = 824.59/x
  3. Step 3: Cross multiply
    1,285.91x = 1,931.95 × 824.59
  4. Step 4: Simplify right side
    1,285.91x = 1,593,072.81
  5. Step 5: Solve for x
    x = 1,593,072.81/1,285.91
  6. Step 6: Final answer
    x = 1,238.87

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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.