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Finding the Fourth Proportional to 1,285.72, 1,931.76 and 823.70

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Solution

The fourth proportional to 1,285.72, 1,931.76 and 823.70 is: 1,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.72 : 1,931.76 = 823.70 : x
  2. Step 2: Convert to fraction form
    1,285.72/1,931.76 = 823.70/x
  3. Step 3: Cross multiply
    1,285.72x = 1,931.76 × 823.70
  4. Step 4: Simplify right side
    1,285.72x = 1,591,190.71
  5. Step 5: Solve for x
    x = 1,591,190.71/1,285.72
  6. Step 6: Final answer
    x = 1,237.59

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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.