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Finding the Fourth Proportional to 407.40, 557.23 and 401.02

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Solution

The fourth proportional to 407.40, 557.23 and 401.02 is: 548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 557.23 = 401.02 : x
  2. Step 2: Convert to fraction form
    407.40/557.23 = 401.02/x
  3. Step 3: Cross multiply
    407.40x = 557.23 × 401.02
  4. Step 4: Simplify right side
    407.40x = 223,460.37
  5. Step 5: Solve for x
    x = 223,460.37/407.40
  6. Step 6: Final answer
    x = 548.50

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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.