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Finding the Fourth Proportional to 720.20, 989.24 and 706.36

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Solution

The fourth proportional to 720.20, 989.24 and 706.36 is: 970.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.20 : 989.24 = 706.36 : x
  2. Step 2: Convert to fraction form
    720.20/989.24 = 706.36/x
  3. Step 3: Cross multiply
    720.20x = 989.24 × 706.36
  4. Step 4: Simplify right side
    720.20x = 698,753.56
  5. Step 5: Solve for x
    x = 698,753.56/720.20
  6. Step 6: Final answer
    x = 970.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.