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Finding the Fourth Proportional to 630.69, 946.47 and 386.46

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Solution

The fourth proportional to 630.69, 946.47 and 386.46 is: 579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.69 : 946.47 = 386.46 : x
  2. Step 2: Convert to fraction form
    630.69/946.47 = 386.46/x
  3. Step 3: Cross multiply
    630.69x = 946.47 × 386.46
  4. Step 4: Simplify right side
    630.69x = 365,772.80
  5. Step 5: Solve for x
    x = 365,772.80/630.69
  6. Step 6: Final answer
    x = 579.96

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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.