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Finding the Fourth Proportional to 780.98, 1,171.46 and 734.91

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Solution

The fourth proportional to 780.98, 1,171.46 and 734.91 is: 1,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.98 : 1,171.46 = 734.91 : x
  2. Step 2: Convert to fraction form
    780.98/1,171.46 = 734.91/x
  3. Step 3: Cross multiply
    780.98x = 1,171.46 × 734.91
  4. Step 4: Simplify right side
    780.98x = 860,915.11
  5. Step 5: Solve for x
    x = 860,915.11/780.98
  6. Step 6: Final answer
    x = 1,102.36

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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.