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Finding the Fourth Proportional to 770.69, 1,155.22 and 440.91

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Solution

The fourth proportional to 770.69, 1,155.22 and 440.91 is: 660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.69 : 1,155.22 = 440.91 : x
  2. Step 2: Convert to fraction form
    770.69/1,155.22 = 440.91/x
  3. Step 3: Cross multiply
    770.69x = 1,155.22 × 440.91
  4. Step 4: Simplify right side
    770.69x = 509,346.95
  5. Step 5: Solve for x
    x = 509,346.95/770.69
  6. Step 6: Final answer
    x = 660.90

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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.