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Finding the Fourth Proportional to 527.61, 727.42 and 361.53

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Solution

The fourth proportional to 527.61, 727.42 and 361.53 is: 498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.61 : 727.42 = 361.53 : x
  2. Step 2: Convert to fraction form
    527.61/727.42 = 361.53/x
  3. Step 3: Cross multiply
    527.61x = 727.42 × 361.53
  4. Step 4: Simplify right side
    527.61x = 262,981.20
  5. Step 5: Solve for x
    x = 262,981.20/527.61
  6. Step 6: Final answer
    x = 498.44

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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.