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Finding the Fourth Proportional to 461.93, 695.50 and 407.43

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Solution

The fourth proportional to 461.93, 695.50 and 407.43 is: 613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.93 : 695.50 = 407.43 : x
  2. Step 2: Convert to fraction form
    461.93/695.50 = 407.43/x
  3. Step 3: Cross multiply
    461.93x = 695.50 × 407.43
  4. Step 4: Simplify right side
    461.93x = 283,365.53
  5. Step 5: Solve for x
    x = 283,365.53/461.93
  6. Step 6: Final answer
    x = 613.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.