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Finding the Fourth Proportional to 410.74, 562.50 and 405.34

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Solution

The fourth proportional to 410.74, 562.50 and 405.34 is: 555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.74 : 562.50 = 405.34 : x
  2. Step 2: Convert to fraction form
    410.74/562.50 = 405.34/x
  3. Step 3: Cross multiply
    410.74x = 562.50 × 405.34
  4. Step 4: Simplify right side
    410.74x = 228,003.75
  5. Step 5: Solve for x
    x = 228,003.75/410.74
  6. Step 6: Final answer
    x = 555.10

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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.