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Finding the Fourth Proportional to 770.97, 1,157.48 and 656.15

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Solution

The fourth proportional to 770.97, 1,157.48 and 656.15 is: 985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.97 : 1,157.48 = 656.15 : x
  2. Step 2: Convert to fraction form
    770.97/1,157.48 = 656.15/x
  3. Step 3: Cross multiply
    770.97x = 1,157.48 × 656.15
  4. Step 4: Simplify right side
    770.97x = 759,485.04
  5. Step 5: Solve for x
    x = 759,485.04/770.97
  6. Step 6: Final answer
    x = 985.10

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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.