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Finding the Fourth Proportional to 771.66, 1,064.61 and 550.53

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Solution

The fourth proportional to 771.66, 1,064.61 and 550.53 is: 759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.66 : 1,064.61 = 550.53 : x
  2. Step 2: Convert to fraction form
    771.66/1,064.61 = 550.53/x
  3. Step 3: Cross multiply
    771.66x = 1,064.61 × 550.53
  4. Step 4: Simplify right side
    771.66x = 586,099.74
  5. Step 5: Solve for x
    x = 586,099.74/771.66
  6. Step 6: Final answer
    x = 759.53

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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.