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Finding the Fourth Proportional to 989.35, 1,482.66 and 842.34

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Solution

The fourth proportional to 989.35, 1,482.66 and 842.34 is: 1,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.35 : 1,482.66 = 842.34 : x
  2. Step 2: Convert to fraction form
    989.35/1,482.66 = 842.34/x
  3. Step 3: Cross multiply
    989.35x = 1,482.66 × 842.34
  4. Step 4: Simplify right side
    989.35x = 1,248,892.20
  5. Step 5: Solve for x
    x = 1,248,892.20/989.35
  6. Step 6: Final answer
    x = 1,262.34

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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.