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Finding the Fourth Proportional to 777.05, 1,165.57 and 532.84

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Solution

The fourth proportional to 777.05, 1,165.57 and 532.84 is: 799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.05 : 1,165.57 = 532.84 : x
  2. Step 2: Convert to fraction form
    777.05/1,165.57 = 532.84/x
  3. Step 3: Cross multiply
    777.05x = 1,165.57 × 532.84
  4. Step 4: Simplify right side
    777.05x = 621,057.82
  5. Step 5: Solve for x
    x = 621,057.82/777.05
  6. Step 6: Final answer
    x = 799.25

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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.