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Finding the Fourth Proportional to 776.31, 1,156.14 and 762.67

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Solution

The fourth proportional to 776.31, 1,156.14 and 762.67 is: 1,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.31 : 1,156.14 = 762.67 : x
  2. Step 2: Convert to fraction form
    776.31/1,156.14 = 762.67/x
  3. Step 3: Cross multiply
    776.31x = 1,156.14 × 762.67
  4. Step 4: Simplify right side
    776.31x = 881,753.29
  5. Step 5: Solve for x
    x = 881,753.29/776.31
  6. Step 6: Final answer
    x = 1,135.83

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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.