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Finding the Fourth Proportional to 407.17, 556.94 and 400.81

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Solution

The fourth proportional to 407.17, 556.94 and 400.81 is: 548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.17 : 556.94 = 400.81 : x
  2. Step 2: Convert to fraction form
    407.17/556.94 = 400.81/x
  3. Step 3: Cross multiply
    407.17x = 556.94 × 400.81
  4. Step 4: Simplify right side
    407.17x = 223,227.12
  5. Step 5: Solve for x
    x = 223,227.12/407.17
  6. Step 6: Final answer
    x = 548.24

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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.