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Finding the Fourth Proportional to 770.38, 1,155.60 and 649.22

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Solution

The fourth proportional to 770.38, 1,155.60 and 649.22 is: 973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.38 : 1,155.60 = 649.22 : x
  2. Step 2: Convert to fraction form
    770.38/1,155.60 = 649.22/x
  3. Step 3: Cross multiply
    770.38x = 1,155.60 × 649.22
  4. Step 4: Simplify right side
    770.38x = 750,232.85
  5. Step 5: Solve for x
    x = 750,232.85/770.38
  6. Step 6: Final answer
    x = 973.85

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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.