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Finding the Fourth Proportional to 989.01, 1,482.15 and 842.00

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Solution

The fourth proportional to 989.01, 1,482.15 and 842.00 is: 1,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.01 : 1,482.15 = 842.00 : x
  2. Step 2: Convert to fraction form
    989.01/1,482.15 = 842.00/x
  3. Step 3: Cross multiply
    989.01x = 1,482.15 × 842.00
  4. Step 4: Simplify right side
    989.01x = 1,247,967.85
  5. Step 5: Solve for x
    x = 1,247,967.85/989.01
  6. Step 6: Final answer
    x = 1,261.83

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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.