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Finding the Fourth Proportional to 527.44, 794.38 and 400.08

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Solution

The fourth proportional to 527.44, 794.38 and 400.08 is: 602.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.44 : 794.38 = 400.08 : x
  2. Step 2: Convert to fraction form
    527.44/794.38 = 400.08/x
  3. Step 3: Cross multiply
    527.44x = 794.38 × 400.08
  4. Step 4: Simplify right side
    527.44x = 317,815.55
  5. Step 5: Solve for x
    x = 317,815.55/527.44
  6. Step 6: Final answer
    x = 602.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.