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Finding the Fourth Proportional to 526.04, 725.61 and 378.44

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Solution

The fourth proportional to 526.04, 725.61 and 378.44 is: 522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.04 : 725.61 = 378.44 : x
  2. Step 2: Convert to fraction form
    526.04/725.61 = 378.44/x
  3. Step 3: Cross multiply
    526.04x = 725.61 × 378.44
  4. Step 4: Simplify right side
    526.04x = 274,599.85
  5. Step 5: Solve for x
    x = 274,599.85/526.04
  6. Step 6: Final answer
    x = 522.01

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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.