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Finding the Fourth Proportional to 842.42, 1,162.50 and 493.08

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Solution

The fourth proportional to 842.42, 1,162.50 and 493.08 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.42 : 1,162.50 = 493.08 : x
  2. Step 2: Convert to fraction form
    842.42/1,162.50 = 493.08/x
  3. Step 3: Cross multiply
    842.42x = 1,162.50 × 493.08
  4. Step 4: Simplify right side
    842.42x = 573,205.50
  5. Step 5: Solve for x
    x = 573,205.50/842.42
  6. Step 6: Final answer
    x = 680.43

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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.