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Finding the Fourth Proportional to 775.33, 1,162.54 and 313.13

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Solution

The fourth proportional to 775.33, 1,162.54 and 313.13 is: 469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.33 : 1,162.54 = 313.13 : x
  2. Step 2: Convert to fraction form
    775.33/1,162.54 = 313.13/x
  3. Step 3: Cross multiply
    775.33x = 1,162.54 × 313.13
  4. Step 4: Simplify right side
    775.33x = 364,020.34
  5. Step 5: Solve for x
    x = 364,020.34/775.33
  6. Step 6: Final answer
    x = 469.50

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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.