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Finding the Fourth Proportional to 693.13, 956.49 and 378.38

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Solution

The fourth proportional to 693.13, 956.49 and 378.38 is: 522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.13 : 956.49 = 378.38 : x
  2. Step 2: Convert to fraction form
    693.13/956.49 = 378.38/x
  3. Step 3: Cross multiply
    693.13x = 956.49 × 378.38
  4. Step 4: Simplify right side
    693.13x = 361,919.45
  5. Step 5: Solve for x
    x = 361,919.45/693.13
  6. Step 6: Final answer
    x = 522.15

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Half scale
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Double scale
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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.