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Finding the Fourth Proportional to 526.13, 727.36 and 394.91

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Solution

The fourth proportional to 526.13, 727.36 and 394.91 is: 545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.13 : 727.36 = 394.91 : x
  2. Step 2: Convert to fraction form
    526.13/727.36 = 394.91/x
  3. Step 3: Cross multiply
    526.13x = 727.36 × 394.91
  4. Step 4: Simplify right side
    526.13x = 287,238.10
  5. Step 5: Solve for x
    x = 287,238.10/526.13
  6. Step 6: Final answer
    x = 545.95

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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.