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Finding the Fourth Proportional to 1,240.85, 1,860.30 and 646.43

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Solution

The fourth proportional to 1,240.85, 1,860.30 and 646.43 is: 969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.85 : 1,860.30 = 646.43 : x
  2. Step 2: Convert to fraction form
    1,240.85/1,860.30 = 646.43/x
  3. Step 3: Cross multiply
    1,240.85x = 1,860.30 × 646.43
  4. Step 4: Simplify right side
    1,240.85x = 1,202,558.38
  5. Step 5: Solve for x
    x = 1,202,558.38/1,240.85
  6. Step 6: Final answer
    x = 969.14

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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.