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Finding the Fourth Proportional to 765.50, 1,055.91 and 610.62

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Solution

The fourth proportional to 765.50, 1,055.91 and 610.62 is: 842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.50 : 1,055.91 = 610.62 : x
  2. Step 2: Convert to fraction form
    765.50/1,055.91 = 610.62/x
  3. Step 3: Cross multiply
    765.50x = 1,055.91 × 610.62
  4. Step 4: Simplify right side
    765.50x = 644,759.76
  5. Step 5: Solve for x
    x = 644,759.76/765.50
  6. Step 6: Final answer
    x = 842.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.