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Finding the Fourth Proportional to 526, 726.36 and 388.72

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Solution

The fourth proportional to 526, 726.36 and 388.72 is: 536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    526 : 726.36 = 388.72 : x
  2. Step 2: Convert to fraction form
    526/726.36 = 388.72/x
  3. Step 3: Cross multiply
    526x = 726.36 × 388.72
  4. Step 4: Simplify right side
    526x = 282,350.66
  5. Step 5: Solve for x
    x = 282,350.66/526
  6. Step 6: Final answer
    x = 536.79

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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.