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Finding the Fourth Proportional to 770.87, 1,152.56 and 656.66

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Solution

The fourth proportional to 770.87, 1,152.56 and 656.66 is: 981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.87 : 1,152.56 = 656.66 : x
  2. Step 2: Convert to fraction form
    770.87/1,152.56 = 656.66/x
  3. Step 3: Cross multiply
    770.87x = 1,152.56 × 656.66
  4. Step 4: Simplify right side
    770.87x = 756,844.57
  5. Step 5: Solve for x
    x = 756,844.57/770.87
  6. Step 6: Final answer
    x = 981.80

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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.