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Finding the Fourth Proportional to 770.27, 1,155.29 and 380.17

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Solution

The fourth proportional to 770.27, 1,155.29 and 380.17 is: 570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.27 : 1,155.29 = 380.17 : x
  2. Step 2: Convert to fraction form
    770.27/1,155.29 = 380.17/x
  3. Step 3: Cross multiply
    770.27x = 1,155.29 × 380.17
  4. Step 4: Simplify right side
    770.27x = 439,201.81
  5. Step 5: Solve for x
    x = 439,201.81/770.27
  6. Step 6: Final answer
    x = 570.19

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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.