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Finding the Fourth Proportional to 770.97, 1,156.42 and 223.14

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Solution

The fourth proportional to 770.97, 1,156.42 and 223.14 is: 334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.97 : 1,156.42 = 223.14 : x
  2. Step 2: Convert to fraction form
    770.97/1,156.42 = 223.14/x
  3. Step 3: Cross multiply
    770.97x = 1,156.42 × 223.14
  4. Step 4: Simplify right side
    770.97x = 258,043.56
  5. Step 5: Solve for x
    x = 258,043.56/770.97
  6. Step 6: Final answer
    x = 334.70

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.