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Finding the Fourth Proportional to 987.45, 1,362.20 and 841.65

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Solution

The fourth proportional to 987.45, 1,362.20 and 841.65 is: 1,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.45 : 1,362.20 = 841.65 : x
  2. Step 2: Convert to fraction form
    987.45/1,362.20 = 841.65/x
  3. Step 3: Cross multiply
    987.45x = 1,362.20 × 841.65
  4. Step 4: Simplify right side
    987.45x = 1,146,491.42
  5. Step 5: Solve for x
    x = 1,146,491.42/987.45
  6. Step 6: Final answer
    x = 1,161.06

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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.