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Finding the Fourth Proportional to 770.71, 1,156.33 and 423.60

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Solution

The fourth proportional to 770.71, 1,156.33 and 423.60 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.71 : 1,156.33 = 423.60 : x
  2. Step 2: Convert to fraction form
    770.71/1,156.33 = 423.60/x
  3. Step 3: Cross multiply
    770.71x = 1,156.33 × 423.60
  4. Step 4: Simplify right side
    770.71x = 489,819.27
  5. Step 5: Solve for x
    x = 489,819.27/770.71
  6. Step 6: Final answer
    x = 635.54

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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.