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Finding the Fourth Proportional to 771.77, 1,065.53 and 688.73

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Solution

The fourth proportional to 771.77, 1,065.53 and 688.73 is: 950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.77 : 1,065.53 = 688.73 : x
  2. Step 2: Convert to fraction form
    771.77/1,065.53 = 688.73/x
  3. Step 3: Cross multiply
    771.77x = 1,065.53 × 688.73
  4. Step 4: Simplify right side
    771.77x = 733,862.87
  5. Step 5: Solve for x
    x = 733,862.87/771.77
  6. Step 6: Final answer
    x = 950.89

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1.5x scale

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.