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Finding the Fourth Proportional to 1,244.60, 1,864.65 and 986.30

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Solution

The fourth proportional to 1,244.60, 1,864.65 and 986.30 is: 1,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.60 : 1,864.65 = 986.30 : x
  2. Step 2: Convert to fraction form
    1,244.60/1,864.65 = 986.30/x
  3. Step 3: Cross multiply
    1,244.60x = 1,864.65 × 986.30
  4. Step 4: Simplify right side
    1,244.60x = 1,839,104.30
  5. Step 5: Solve for x
    x = 1,839,104.30/1,244.60
  6. Step 6: Final answer
    x = 1,477.67

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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.