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Finding the Fourth Proportional to 726.06, 1,002.36 and 685.98

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Solution

The fourth proportional to 726.06, 1,002.36 and 685.98 is: 947.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.06 : 1,002.36 = 685.98 : x
  2. Step 2: Convert to fraction form
    726.06/1,002.36 = 685.98/x
  3. Step 3: Cross multiply
    726.06x = 1,002.36 × 685.98
  4. Step 4: Simplify right side
    726.06x = 687,598.91
  5. Step 5: Solve for x
    x = 687,598.91/726.06
  6. Step 6: Final answer
    x = 947.03

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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.