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Finding the Fourth Proportional to 505.34, 696.34 and 387.31

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Solution

The fourth proportional to 505.34, 696.34 and 387.31 is: 533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 696.34 = 387.31 : x
  2. Step 2: Convert to fraction form
    505.34/696.34 = 387.31/x
  3. Step 3: Cross multiply
    505.34x = 696.34 × 387.31
  4. Step 4: Simplify right side
    505.34x = 269,696.74
  5. Step 5: Solve for x
    x = 269,696.74/505.34
  6. Step 6: Final answer
    x = 533.70

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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.