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Finding the Fourth Proportional to 526.95, 727.43 and 387.09

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Solution

The fourth proportional to 526.95, 727.43 and 387.09 is: 534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.95 : 727.43 = 387.09 : x
  2. Step 2: Convert to fraction form
    526.95/727.43 = 387.09/x
  3. Step 3: Cross multiply
    526.95x = 727.43 × 387.09
  4. Step 4: Simplify right side
    526.95x = 281,578.94
  5. Step 5: Solve for x
    x = 281,578.94/526.95
  6. Step 6: Final answer
    x = 534.36

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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.