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Finding the Fourth Proportional to 526.06, 725.71 and 378.44

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Solution

The fourth proportional to 526.06, 725.71 and 378.44 is: 522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.06 : 725.71 = 378.44 : x
  2. Step 2: Convert to fraction form
    526.06/725.71 = 378.44/x
  3. Step 3: Cross multiply
    526.06x = 725.71 × 378.44
  4. Step 4: Simplify right side
    526.06x = 274,636.55
  5. Step 5: Solve for x
    x = 274,636.55/526.06
  6. Step 6: Final answer
    x = 522.06

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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.