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Finding the Fourth Proportional to 405.93, 560.76 and 390.96

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Solution

The fourth proportional to 405.93, 560.76 and 390.96 is: 540.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.93 : 560.76 = 390.96 : x
  2. Step 2: Convert to fraction form
    405.93/560.76 = 390.96/x
  3. Step 3: Cross multiply
    405.93x = 560.76 × 390.96
  4. Step 4: Simplify right side
    405.93x = 219,234.73
  5. Step 5: Solve for x
    x = 219,234.73/405.93
  6. Step 6: Final answer
    x = 540.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.