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Finding the Fourth Proportional to 771.67, 1,065.27 and 491.95

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Solution

The fourth proportional to 771.67, 1,065.27 and 491.95 is: 679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.67 : 1,065.27 = 491.95 : x
  2. Step 2: Convert to fraction form
    771.67/1,065.27 = 491.95/x
  3. Step 3: Cross multiply
    771.67x = 1,065.27 × 491.95
  4. Step 4: Simplify right side
    771.67x = 524,059.58
  5. Step 5: Solve for x
    x = 524,059.58/771.67
  6. Step 6: Final answer
    x = 679.12

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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.