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Finding the Fourth Proportional to 726.47, 995.63 and 712.80

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Solution

The fourth proportional to 726.47, 995.63 and 712.80 is: 976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.47 : 995.63 = 712.80 : x
  2. Step 2: Convert to fraction form
    726.47/995.63 = 712.80/x
  3. Step 3: Cross multiply
    726.47x = 995.63 × 712.80
  4. Step 4: Simplify right side
    726.47x = 709,681.50
  5. Step 5: Solve for x
    x = 709,681.50/726.47
  6. Step 6: Final answer
    x = 976.89

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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.