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Finding the Fourth Proportional to 770.35, 1,155.44 and 423.56

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Solution

The fourth proportional to 770.35, 1,155.44 and 423.56 is: 635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.35 : 1,155.44 = 423.56 : x
  2. Step 2: Convert to fraction form
    770.35/1,155.44 = 423.56/x
  3. Step 3: Cross multiply
    770.35x = 1,155.44 × 423.56
  4. Step 4: Simplify right side
    770.35x = 489,404.28
  5. Step 5: Solve for x
    x = 489,404.28/770.35
  6. Step 6: Final answer
    x = 635.30

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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.