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Finding the Fourth Proportional to 770.44, 1,157.10 and 673.24

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Solution

The fourth proportional to 770.44, 1,157.10 and 673.24 is: 1,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,157.10 = 673.24 : x
  2. Step 2: Convert to fraction form
    770.44/1,157.10 = 673.24/x
  3. Step 3: Cross multiply
    770.44x = 1,157.10 × 673.24
  4. Step 4: Simplify right side
    770.44x = 779,006.00
  5. Step 5: Solve for x
    x = 779,006.00/770.44
  6. Step 6: Final answer
    x = 1,011.12

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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.