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Finding the Fourth Proportional to 527.43, 727.44 and 492.06

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Solution

The fourth proportional to 527.43, 727.44 and 492.06 is: 678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.43 : 727.44 = 492.06 : x
  2. Step 2: Convert to fraction form
    527.43/727.44 = 492.06/x
  3. Step 3: Cross multiply
    527.43x = 727.44 × 492.06
  4. Step 4: Simplify right side
    527.43x = 357,945.11
  5. Step 5: Solve for x
    x = 357,945.11/527.43
  6. Step 6: Final answer
    x = 678.66

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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.