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Finding the Fourth Proportional to 526.72, 727.04 and 316.96

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Solution

The fourth proportional to 526.72, 727.04 and 316.96 is: 437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.72 : 727.04 = 316.96 : x
  2. Step 2: Convert to fraction form
    526.72/727.04 = 316.96/x
  3. Step 3: Cross multiply
    526.72x = 727.04 × 316.96
  4. Step 4: Simplify right side
    526.72x = 230,442.60
  5. Step 5: Solve for x
    x = 230,442.60/526.72
  6. Step 6: Final answer
    x = 437.50

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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.