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Finding the Fourth Proportional to 770.05, 1,155.26 and 307.81

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Solution

The fourth proportional to 770.05, 1,155.26 and 307.81 is: 461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.05 : 1,155.26 = 307.81 : x
  2. Step 2: Convert to fraction form
    770.05/1,155.26 = 307.81/x
  3. Step 3: Cross multiply
    770.05x = 1,155.26 × 307.81
  4. Step 4: Simplify right side
    770.05x = 355,600.58
  5. Step 5: Solve for x
    x = 355,600.58/770.05
  6. Step 6: Final answer
    x = 461.79

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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.