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Finding the Fourth Proportional to 904.82, 1,364.12 and 842.18

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Solution

The fourth proportional to 904.82, 1,364.12 and 842.18 is: 1,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.82 : 1,364.12 = 842.18 : x
  2. Step 2: Convert to fraction form
    904.82/1,364.12 = 842.18/x
  3. Step 3: Cross multiply
    904.82x = 1,364.12 × 842.18
  4. Step 4: Simplify right side
    904.82x = 1,148,834.58
  5. Step 5: Solve for x
    x = 1,148,834.58/904.82
  6. Step 6: Final answer
    x = 1,269.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.