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Finding the Fourth Proportional to 726.21, 1,000.38 and 689.16

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Solution

The fourth proportional to 726.21, 1,000.38 and 689.16 is: 949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.21 : 1,000.38 = 689.16 : x
  2. Step 2: Convert to fraction form
    726.21/1,000.38 = 689.16/x
  3. Step 3: Cross multiply
    726.21x = 1,000.38 × 689.16
  4. Step 4: Simplify right side
    726.21x = 689,421.88
  5. Step 5: Solve for x
    x = 689,421.88/726.21
  6. Step 6: Final answer
    x = 949.34

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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.