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Finding the Fourth Proportional to 770.27, 1,062.97 and 420.98

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Solution

The fourth proportional to 770.27, 1,062.97 and 420.98 is: 580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.27 : 1,062.97 = 420.98 : x
  2. Step 2: Convert to fraction form
    770.27/1,062.97 = 420.98/x
  3. Step 3: Cross multiply
    770.27x = 1,062.97 × 420.98
  4. Step 4: Simplify right side
    770.27x = 447,489.11
  5. Step 5: Solve for x
    x = 447,489.11/770.27
  6. Step 6: Final answer
    x = 580.95

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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.