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Finding the Fourth Proportional to 461.47, 634.93 and 399.10

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Solution

The fourth proportional to 461.47, 634.93 and 399.10 is: 549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.47 : 634.93 = 399.10 : x
  2. Step 2: Convert to fraction form
    461.47/634.93 = 399.10/x
  3. Step 3: Cross multiply
    461.47x = 634.93 × 399.10
  4. Step 4: Simplify right side
    461.47x = 253,400.56
  5. Step 5: Solve for x
    x = 253,400.56/461.47
  6. Step 6: Final answer
    x = 549.12

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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.