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Finding the Fourth Proportional to 842.13, 1,162.16 and 469.14

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Solution

The fourth proportional to 842.13, 1,162.16 and 469.14 is: 647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.13 : 1,162.16 = 469.14 : x
  2. Step 2: Convert to fraction form
    842.13/1,162.16 = 469.14/x
  3. Step 3: Cross multiply
    842.13x = 1,162.16 × 469.14
  4. Step 4: Simplify right side
    842.13x = 545,215.74
  5. Step 5: Solve for x
    x = 545,215.74/842.13
  6. Step 6: Final answer
    x = 647.42

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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.