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Finding the Fourth Proportional to 407.43, 615.80 and 407.43

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Solution

The fourth proportional to 407.43, 615.80 and 407.43 is: 615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.43 : 615.80 = 407.43 : x
  2. Step 2: Convert to fraction form
    407.43/615.80 = 407.43/x
  3. Step 3: Cross multiply
    407.43x = 615.80 × 407.43
  4. Step 4: Simplify right side
    407.43x = 250,896.41
  5. Step 5: Solve for x
    x = 250,896.41/407.43
  6. Step 6: Final answer
    x = 615.80

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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.