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Finding the Fourth Proportional to 774.49, 1,162.31 and 482.42

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Solution

The fourth proportional to 774.49, 1,162.31 and 482.42 is: 723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.49 : 1,162.31 = 482.42 : x
  2. Step 2: Convert to fraction form
    774.49/1,162.31 = 482.42/x
  3. Step 3: Cross multiply
    774.49x = 1,162.31 × 482.42
  4. Step 4: Simplify right side
    774.49x = 560,713.37
  5. Step 5: Solve for x
    x = 560,713.37/774.49
  6. Step 6: Final answer
    x = 723.98

Related Problems

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Half scale
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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.