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Finding the Fourth Proportional to 562.21, 842.77 and 288.43

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Solution

The fourth proportional to 562.21, 842.77 and 288.43 is: 432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.21 : 842.77 = 288.43 : x
  2. Step 2: Convert to fraction form
    562.21/842.77 = 288.43/x
  3. Step 3: Cross multiply
    562.21x = 842.77 × 288.43
  4. Step 4: Simplify right side
    562.21x = 243,080.15
  5. Step 5: Solve for x
    x = 243,080.15/562.21
  6. Step 6: Final answer
    x = 432.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.