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Finding the Fourth Proportional to 526.44, 725.72 and 415.74

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Solution

The fourth proportional to 526.44, 725.72 and 415.74 is: 573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.44 : 725.72 = 415.74 : x
  2. Step 2: Convert to fraction form
    526.44/725.72 = 415.74/x
  3. Step 3: Cross multiply
    526.44x = 725.72 × 415.74
  4. Step 4: Simplify right side
    526.44x = 301,708.75
  5. Step 5: Solve for x
    x = 301,708.75/526.44
  6. Step 6: Final answer
    x = 573.11

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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.