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Finding the Fourth Proportional to 770.97, 1,063.92 and 421.65

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Solution

The fourth proportional to 770.97, 1,063.92 and 421.65 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.97 : 1,063.92 = 421.65 : x
  2. Step 2: Convert to fraction form
    770.97/1,063.92 = 421.65/x
  3. Step 3: Cross multiply
    770.97x = 1,063.92 × 421.65
  4. Step 4: Simplify right side
    770.97x = 448,601.87
  5. Step 5: Solve for x
    x = 448,601.87/770.97
  6. Step 6: Final answer
    x = 581.87

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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.