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Finding the Fourth Proportional to 680.38, 938.54 and 505.42

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Solution

The fourth proportional to 680.38, 938.54 and 505.42 is: 697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.38 : 938.54 = 505.42 : x
  2. Step 2: Convert to fraction form
    680.38/938.54 = 505.42/x
  3. Step 3: Cross multiply
    680.38x = 938.54 × 505.42
  4. Step 4: Simplify right side
    680.38x = 474,356.89
  5. Step 5: Solve for x
    x = 474,356.89/680.38
  6. Step 6: Final answer
    x = 697.19

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1.5x scale

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.