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Finding the Fourth Proportional to 406.01, 556.64 and 398.72

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Solution

The fourth proportional to 406.01, 556.64 and 398.72 is: 546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.01 : 556.64 = 398.72 : x
  2. Step 2: Convert to fraction form
    406.01/556.64 = 398.72/x
  3. Step 3: Cross multiply
    406.01x = 556.64 × 398.72
  4. Step 4: Simplify right side
    406.01x = 221,941.71
  5. Step 5: Solve for x
    x = 221,941.71/406.01
  6. Step 6: Final answer
    x = 546.65

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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.