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Finding the Fourth Proportional to 775.13, 1,069.83 and 460.51

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Solution

The fourth proportional to 775.13, 1,069.83 and 460.51 is: 635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.13 : 1,069.83 = 460.51 : x
  2. Step 2: Convert to fraction form
    775.13/1,069.83 = 460.51/x
  3. Step 3: Cross multiply
    775.13x = 1,069.83 × 460.51
  4. Step 4: Simplify right side
    775.13x = 492,664.74
  5. Step 5: Solve for x
    x = 492,664.74/775.13
  6. Step 6: Final answer
    x = 635.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.