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Finding the Fourth Proportional to 771.50, 1,065.56 and 562.62

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Solution

The fourth proportional to 771.50, 1,065.56 and 562.62 is: 777.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,065.56 = 562.62 : x
  2. Step 2: Convert to fraction form
    771.50/1,065.56 = 562.62/x
  3. Step 3: Cross multiply
    771.50x = 1,065.56 × 562.62
  4. Step 4: Simplify right side
    771.50x = 599,505.37
  5. Step 5: Solve for x
    x = 599,505.37/771.50
  6. Step 6: Final answer
    x = 777.06

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Why These Related Problems?

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