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Finding the Fourth Proportional to 765.96, 1,056.56 and 667.95

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Solution

The fourth proportional to 765.96, 1,056.56 and 667.95 is: 921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.96 : 1,056.56 = 667.95 : x
  2. Step 2: Convert to fraction form
    765.96/1,056.56 = 667.95/x
  3. Step 3: Cross multiply
    765.96x = 1,056.56 × 667.95
  4. Step 4: Simplify right side
    765.96x = 705,725.91
  5. Step 5: Solve for x
    x = 705,725.91/765.96
  6. Step 6: Final answer
    x = 921.36

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