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Finding the Fourth Proportional to 407.79, 565.54 and 393.21

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Solution

The fourth proportional to 407.79, 565.54 and 393.21 is: 545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.79 : 565.54 = 393.21 : x
  2. Step 2: Convert to fraction form
    407.79/565.54 = 393.21/x
  3. Step 3: Cross multiply
    407.79x = 565.54 × 393.21
  4. Step 4: Simplify right side
    407.79x = 222,375.00
  5. Step 5: Solve for x
    x = 222,375.00/407.79
  6. Step 6: Final answer
    x = 545.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.