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Finding the Fourth Proportional to 776.32, 1,163.70 and 498.89

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Solution

The fourth proportional to 776.32, 1,163.70 and 498.89 is: 747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.32 : 1,163.70 = 498.89 : x
  2. Step 2: Convert to fraction form
    776.32/1,163.70 = 498.89/x
  3. Step 3: Cross multiply
    776.32x = 1,163.70 × 498.89
  4. Step 4: Simplify right side
    776.32x = 580,561.20
  5. Step 5: Solve for x
    x = 580,561.20/776.32
  6. Step 6: Final answer
    x = 747.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.