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Finding the Fourth Proportional to 1,056.74, 1,456.35 and 823.46

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Solution

The fourth proportional to 1,056.74, 1,456.35 and 823.46 is: 1,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.74 : 1,456.35 = 823.46 : x
  2. Step 2: Convert to fraction form
    1,056.74/1,456.35 = 823.46/x
  3. Step 3: Cross multiply
    1,056.74x = 1,456.35 × 823.46
  4. Step 4: Simplify right side
    1,056.74x = 1,199,245.97
  5. Step 5: Solve for x
    x = 1,199,245.97/1,056.74
  6. Step 6: Final answer
    x = 1,134.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.