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Finding the Fourth Proportional to 630.68, 946.29 and 341.78

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Solution

The fourth proportional to 630.68, 946.29 and 341.78 is: 512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.68 : 946.29 = 341.78 : x
  2. Step 2: Convert to fraction form
    630.68/946.29 = 341.78/x
  3. Step 3: Cross multiply
    630.68x = 946.29 × 341.78
  4. Step 4: Simplify right side
    630.68x = 323,423.00
  5. Step 5: Solve for x
    x = 323,423.00/630.68
  6. Step 6: Final answer
    x = 512.82

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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.