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Finding the Fourth Proportional to 842.64, 1,162.80 and 493.20

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Solution

The fourth proportional to 842.64, 1,162.80 and 493.20 is: 680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.64 : 1,162.80 = 493.20 : x
  2. Step 2: Convert to fraction form
    842.64/1,162.80 = 493.20/x
  3. Step 3: Cross multiply
    842.64x = 1,162.80 × 493.20
  4. Step 4: Simplify right side
    842.64x = 573,492.96
  5. Step 5: Solve for x
    x = 573,492.96/842.64
  6. Step 6: Final answer
    x = 680.59

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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.