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Finding the Fourth Proportional to 775.11, 1,162.20 and 312.51

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Solution

The fourth proportional to 775.11, 1,162.20 and 312.51 is: 468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.11 : 1,162.20 = 312.51 : x
  2. Step 2: Convert to fraction form
    775.11/1,162.20 = 312.51/x
  3. Step 3: Cross multiply
    775.11x = 1,162.20 × 312.51
  4. Step 4: Simplify right side
    775.11x = 363,199.12
  5. Step 5: Solve for x
    x = 363,199.12/775.11
  6. Step 6: Final answer
    x = 468.58

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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.