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Finding the Fourth Proportional to 770.53, 1,154.74 and 423.45

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Solution

The fourth proportional to 770.53, 1,154.74 and 423.45 is: 634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.53 : 1,154.74 = 423.45 : x
  2. Step 2: Convert to fraction form
    770.53/1,154.74 = 423.45/x
  3. Step 3: Cross multiply
    770.53x = 1,154.74 × 423.45
  4. Step 4: Simplify right side
    770.53x = 488,974.65
  5. Step 5: Solve for x
    x = 488,974.65/770.53
  6. Step 6: Final answer
    x = 634.60

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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.