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Finding the Fourth Proportional to 405.68, 556.12 and 398.32

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Solution

The fourth proportional to 405.68, 556.12 and 398.32 is: 546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.68 : 556.12 = 398.32 : x
  2. Step 2: Convert to fraction form
    405.68/556.12 = 398.32/x
  3. Step 3: Cross multiply
    405.68x = 556.12 × 398.32
  4. Step 4: Simplify right side
    405.68x = 221,513.72
  5. Step 5: Solve for x
    x = 221,513.72/405.68
  6. Step 6: Final answer
    x = 546.03

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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.