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Finding the Fourth Proportional to 770.76, 1,156.26 and 223.11

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Solution

The fourth proportional to 770.76, 1,156.26 and 223.11 is: 334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.76 : 1,156.26 = 223.11 : x
  2. Step 2: Convert to fraction form
    770.76/1,156.26 = 223.11/x
  3. Step 3: Cross multiply
    770.76x = 1,156.26 × 223.11
  4. Step 4: Simplify right side
    770.76x = 257,973.17
  5. Step 5: Solve for x
    x = 257,973.17/770.76
  6. Step 6: Final answer
    x = 334.70

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Double scale
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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.