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Finding the Fourth Proportional to 776.32, 1,064.76 and 688.84

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Solution

The fourth proportional to 776.32, 1,064.76 and 688.84 is: 944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,064.76 = 688.84 : x
  2. Step 2: Convert to fraction form
    776.32/1,064.76 = 688.84/x
  3. Step 3: Cross multiply
    776.32x = 1,064.76 × 688.84
  4. Step 4: Simplify right side
    776.32x = 733,447.56
  5. Step 5: Solve for x
    x = 733,447.56/776.32
  6. Step 6: Final answer
    x = 944.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.