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Finding the Fourth Proportional to 630.91, 946.94 and 455.38

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Solution

The fourth proportional to 630.91, 946.94 and 455.38 is: 683.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.91 : 946.94 = 455.38 : x
  2. Step 2: Convert to fraction form
    630.91/946.94 = 455.38/x
  3. Step 3: Cross multiply
    630.91x = 946.94 × 455.38
  4. Step 4: Simplify right side
    630.91x = 431,217.54
  5. Step 5: Solve for x
    x = 431,217.54/630.91
  6. Step 6: Final answer
    x = 683.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.