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Finding the Fourth Proportional to 527.63, 727.29 and 422.55

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Solution

The fourth proportional to 527.63, 727.29 and 422.55 is: 582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.63 : 727.29 = 422.55 : x
  2. Step 2: Convert to fraction form
    527.63/727.29 = 422.55/x
  3. Step 3: Cross multiply
    527.63x = 727.29 × 422.55
  4. Step 4: Simplify right side
    527.63x = 307,316.39
  5. Step 5: Solve for x
    x = 307,316.39/527.63
  6. Step 6: Final answer
    x = 582.45

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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.