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Finding the Fourth Proportional to 770.76, 1,156.05 and 223.02

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Solution

The fourth proportional to 770.76, 1,156.05 and 223.02 is: 334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.76 : 1,156.05 = 223.02 : x
  2. Step 2: Convert to fraction form
    770.76/1,156.05 = 223.02/x
  3. Step 3: Cross multiply
    770.76x = 1,156.05 × 223.02
  4. Step 4: Simplify right side
    770.76x = 257,822.27
  5. Step 5: Solve for x
    x = 257,822.27/770.76
  6. Step 6: Final answer
    x = 334.50

Related Problems

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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.