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Finding the Fourth Proportional to 771.39, 1,064.97 and 509.85

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Solution

The fourth proportional to 771.39, 1,064.97 and 509.85 is: 703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.39 : 1,064.97 = 509.85 : x
  2. Step 2: Convert to fraction form
    771.39/1,064.97 = 509.85/x
  3. Step 3: Cross multiply
    771.39x = 1,064.97 × 509.85
  4. Step 4: Simplify right side
    771.39x = 542,974.95
  5. Step 5: Solve for x
    x = 542,974.95/771.39
  6. Step 6: Final answer
    x = 703.89

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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.