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Finding the Fourth Proportional to 505.31, 695.79 and 431.46

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Solution

The fourth proportional to 505.31, 695.79 and 431.46 is: 594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.31 : 695.79 = 431.46 : x
  2. Step 2: Convert to fraction form
    505.31/695.79 = 431.46/x
  3. Step 3: Cross multiply
    505.31x = 695.79 × 431.46
  4. Step 4: Simplify right side
    505.31x = 300,205.55
  5. Step 5: Solve for x
    x = 300,205.55/505.31
  6. Step 6: Final answer
    x = 594.11

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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.