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Finding the Fourth Proportional to 930.96, 1,388.88 and 821.61

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Solution

The fourth proportional to 930.96, 1,388.88 and 821.61 is: 1,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.96 : 1,388.88 = 821.61 : x
  2. Step 2: Convert to fraction form
    930.96/1,388.88 = 821.61/x
  3. Step 3: Cross multiply
    930.96x = 1,388.88 × 821.61
  4. Step 4: Simplify right side
    930.96x = 1,141,117.70
  5. Step 5: Solve for x
    x = 1,141,117.70/930.96
  6. Step 6: Final answer
    x = 1,225.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.