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Finding the Fourth Proportional to 505.52, 695.76 and 492.56

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Solution

The fourth proportional to 505.52, 695.76 and 492.56 is: 677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.52 : 695.76 = 492.56 : x
  2. Step 2: Convert to fraction form
    505.52/695.76 = 492.56/x
  3. Step 3: Cross multiply
    505.52x = 695.76 × 492.56
  4. Step 4: Simplify right side
    505.52x = 342,703.55
  5. Step 5: Solve for x
    x = 342,703.55/505.52
  6. Step 6: Final answer
    x = 677.92

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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.