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Finding the Fourth Proportional to 664.16, 1,000.16 and 482.81

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Solution

The fourth proportional to 664.16, 1,000.16 and 482.81 is: 727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.16 : 1,000.16 = 482.81 : x
  2. Step 2: Convert to fraction form
    664.16/1,000.16 = 482.81/x
  3. Step 3: Cross multiply
    664.16x = 1,000.16 × 482.81
  4. Step 4: Simplify right side
    664.16x = 482,879.83
  5. Step 5: Solve for x
    x = 482,879.83/664.16
  6. Step 6: Final answer
    x = 727.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.