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Finding the Fourth Proportional to 774.63, 1,162.12 and 261.63

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Solution

The fourth proportional to 774.63, 1,162.12 and 261.63 is: 392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.63 : 1,162.12 = 261.63 : x
  2. Step 2: Convert to fraction form
    774.63/1,162.12 = 261.63/x
  3. Step 3: Cross multiply
    774.63x = 1,162.12 × 261.63
  4. Step 4: Simplify right side
    774.63x = 304,045.46
  5. Step 5: Solve for x
    x = 304,045.46/774.63
  6. Step 6: Final answer
    x = 392.50

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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.