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Finding the Fourth Proportional to 405.86, 563.84 and 402.06

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Solution

The fourth proportional to 405.86, 563.84 and 402.06 is: 558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.86 : 563.84 = 402.06 : x
  2. Step 2: Convert to fraction form
    405.86/563.84 = 402.06/x
  3. Step 3: Cross multiply
    405.86x = 563.84 × 402.06
  4. Step 4: Simplify right side
    405.86x = 226,695.50
  5. Step 5: Solve for x
    x = 226,695.50/405.86
  6. Step 6: Final answer
    x = 558.56

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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.