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Finding the Fourth Proportional to 562.93, 842.22 and 490.63

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Solution

The fourth proportional to 562.93, 842.22 and 490.63 is: 734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.93 : 842.22 = 490.63 : x
  2. Step 2: Convert to fraction form
    562.93/842.22 = 490.63/x
  3. Step 3: Cross multiply
    562.93x = 842.22 × 490.63
  4. Step 4: Simplify right side
    562.93x = 413,218.40
  5. Step 5: Solve for x
    x = 413,218.40/562.93
  6. Step 6: Final answer
    x = 734.05

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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.