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Finding the Fourth Proportional to 674.92, 931.40 and 380.26

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Solution

The fourth proportional to 674.92, 931.40 and 380.26 is: 524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 931.40 = 380.26 : x
  2. Step 2: Convert to fraction form
    674.92/931.40 = 380.26/x
  3. Step 3: Cross multiply
    674.92x = 931.40 × 380.26
  4. Step 4: Simplify right side
    674.92x = 354,174.16
  5. Step 5: Solve for x
    x = 354,174.16/674.92
  6. Step 6: Final answer
    x = 524.76

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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.