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Finding the Fourth Proportional to 777.21, 1,071.37 and 658.75

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Solution

The fourth proportional to 777.21, 1,071.37 and 658.75 is: 908.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.21 : 1,071.37 = 658.75 : x
  2. Step 2: Convert to fraction form
    777.21/1,071.37 = 658.75/x
  3. Step 3: Cross multiply
    777.21x = 1,071.37 × 658.75
  4. Step 4: Simplify right side
    777.21x = 705,764.99
  5. Step 5: Solve for x
    x = 705,764.99/777.21
  6. Step 6: Final answer
    x = 908.08

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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.