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Finding the Fourth Proportional to 770.74, 1,155.14 and 338.26

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Solution

The fourth proportional to 770.74, 1,155.14 and 338.26 is: 506.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.74 : 1,155.14 = 338.26 : x
  2. Step 2: Convert to fraction form
    770.74/1,155.14 = 338.26/x
  3. Step 3: Cross multiply
    770.74x = 1,155.14 × 338.26
  4. Step 4: Simplify right side
    770.74x = 390,737.66
  5. Step 5: Solve for x
    x = 390,737.66/770.74
  6. Step 6: Final answer
    x = 506.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.