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Finding the Fourth Proportional to 720.75, 994.64 and 410.31

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Solution

The fourth proportional to 720.75, 994.64 and 410.31 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.75 : 994.64 = 410.31 : x
  2. Step 2: Convert to fraction form
    720.75/994.64 = 410.31/x
  3. Step 3: Cross multiply
    720.75x = 994.64 × 410.31
  4. Step 4: Simplify right side
    720.75x = 408,108.69
  5. Step 5: Solve for x
    x = 408,108.69/720.75
  6. Step 6: Final answer
    x = 566.23

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1.5x scale

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.