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Finding the Fourth Proportional to 775.46, 1,070.26 and 495.82

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Solution

The fourth proportional to 775.46, 1,070.26 and 495.82 is: 684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.46 : 1,070.26 = 495.82 : x
  2. Step 2: Convert to fraction form
    775.46/1,070.26 = 495.82/x
  3. Step 3: Cross multiply
    775.46x = 1,070.26 × 495.82
  4. Step 4: Simplify right side
    775.46x = 530,656.31
  5. Step 5: Solve for x
    x = 530,656.31/775.46
  6. Step 6: Final answer
    x = 684.31

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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.