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Finding the Fourth Proportional to 684.09, 943.77 and 526.44

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Solution

The fourth proportional to 684.09, 943.77 and 526.44 is: 726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.09 : 943.77 = 526.44 : x
  2. Step 2: Convert to fraction form
    684.09/943.77 = 526.44/x
  3. Step 3: Cross multiply
    684.09x = 943.77 × 526.44
  4. Step 4: Simplify right side
    684.09x = 496,838.28
  5. Step 5: Solve for x
    x = 496,838.28/684.09
  6. Step 6: Final answer
    x = 726.28

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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.