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Finding the Fourth Proportional to 775.08, 1,162.56 and 255.10

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Solution

The fourth proportional to 775.08, 1,162.56 and 255.10 is: 382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.08 : 1,162.56 = 255.10 : x
  2. Step 2: Convert to fraction form
    775.08/1,162.56 = 255.10/x
  3. Step 3: Cross multiply
    775.08x = 1,162.56 × 255.10
  4. Step 4: Simplify right side
    775.08x = 296,567.11
  5. Step 5: Solve for x
    x = 296,567.11/775.08
  6. Step 6: Final answer
    x = 382.63

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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.