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Finding the Fourth Proportional to 410.81, 562.71 and 405.54

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Solution

The fourth proportional to 410.81, 562.71 and 405.54 is: 555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.81 : 562.71 = 405.54 : x
  2. Step 2: Convert to fraction form
    410.81/562.71 = 405.54/x
  3. Step 3: Cross multiply
    410.81x = 562.71 × 405.54
  4. Step 4: Simplify right side
    410.81x = 228,202.93
  5. Step 5: Solve for x
    x = 228,202.93/410.81
  6. Step 6: Final answer
    x = 555.50

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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.