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Finding the Fourth Proportional to 407.01, 557.79 and 393.15

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Solution

The fourth proportional to 407.01, 557.79 and 393.15 is: 538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.01 : 557.79 = 393.15 : x
  2. Step 2: Convert to fraction form
    407.01/557.79 = 393.15/x
  3. Step 3: Cross multiply
    407.01x = 557.79 × 393.15
  4. Step 4: Simplify right side
    407.01x = 219,295.14
  5. Step 5: Solve for x
    x = 219,295.14/407.01
  6. Step 6: Final answer
    x = 538.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.