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Finding the Fourth Proportional to 990.35, 1,478.21 and 873.61

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Solution

The fourth proportional to 990.35, 1,478.21 and 873.61 is: 1,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.35 : 1,478.21 = 873.61 : x
  2. Step 2: Convert to fraction form
    990.35/1,478.21 = 873.61/x
  3. Step 3: Cross multiply
    990.35x = 1,478.21 × 873.61
  4. Step 4: Simplify right side
    990.35x = 1,291,379.04
  5. Step 5: Solve for x
    x = 1,291,379.04/990.35
  6. Step 6: Final answer
    x = 1,303.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.