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Finding the Fourth Proportional to 694.77, 958.75 and 380.02

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Solution

The fourth proportional to 694.77, 958.75 and 380.02 is: 524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.77 : 958.75 = 380.02 : x
  2. Step 2: Convert to fraction form
    694.77/958.75 = 380.02/x
  3. Step 3: Cross multiply
    694.77x = 958.75 × 380.02
  4. Step 4: Simplify right side
    694.77x = 364,339.38
  5. Step 5: Solve for x
    x = 364,339.38/694.77
  6. Step 6: Final answer
    x = 524.40

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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.