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Finding the Fourth Proportional to 726.24, 1,094.76 and 684.48

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Solution

The fourth proportional to 726.24, 1,094.76 and 684.48 is: 1,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.24 : 1,094.76 = 684.48 : x
  2. Step 2: Convert to fraction form
    726.24/1,094.76 = 684.48/x
  3. Step 3: Cross multiply
    726.24x = 1,094.76 × 684.48
  4. Step 4: Simplify right side
    726.24x = 749,341.32
  5. Step 5: Solve for x
    x = 749,341.32/726.24
  6. Step 6: Final answer
    x = 1,031.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.