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Finding the Fourth Proportional to 766.24, 1,148.64 and 400.48

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Solution

The fourth proportional to 766.24, 1,148.64 and 400.48 is: 600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.24 : 1,148.64 = 400.48 : x
  2. Step 2: Convert to fraction form
    766.24/1,148.64 = 400.48/x
  3. Step 3: Cross multiply
    766.24x = 1,148.64 × 400.48
  4. Step 4: Simplify right side
    766.24x = 460,007.35
  5. Step 5: Solve for x
    x = 460,007.35/766.24
  6. Step 6: Final answer
    x = 600.34

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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.