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Finding the Fourth Proportional to 770.60, 1,158.34 and 669.15

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Solution

The fourth proportional to 770.60, 1,158.34 and 669.15 is: 1,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.60 : 1,158.34 = 669.15 : x
  2. Step 2: Convert to fraction form
    770.60/1,158.34 = 669.15/x
  3. Step 3: Cross multiply
    770.60x = 1,158.34 × 669.15
  4. Step 4: Simplify right side
    770.60x = 775,101.54
  5. Step 5: Solve for x
    x = 775,101.54/770.60
  6. Step 6: Final answer
    x = 1,005.84

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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.