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Finding the Fourth Proportional to 771.85, 1,064.80 and 561.94

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Solution

The fourth proportional to 771.85, 1,064.80 and 561.94 is: 775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,064.80 = 561.94 : x
  2. Step 2: Convert to fraction form
    771.85/1,064.80 = 561.94/x
  3. Step 3: Cross multiply
    771.85x = 1,064.80 × 561.94
  4. Step 4: Simplify right side
    771.85x = 598,348.59
  5. Step 5: Solve for x
    x = 598,348.59/771.85
  6. Step 6: Final answer
    x = 775.21

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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.