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Finding the Fourth Proportional to 1,349.49, 1,860.92 and 1,199.66

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Solution

The fourth proportional to 1,349.49, 1,860.92 and 1,199.66 is: 1,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.49 : 1,860.92 = 1,199.66 : x
  2. Step 2: Convert to fraction form
    1,349.49/1,860.92 = 1,199.66/x
  3. Step 3: Cross multiply
    1,349.49x = 1,860.92 × 1,199.66
  4. Step 4: Simplify right side
    1,349.49x = 2,232,477.70
  5. Step 5: Solve for x
    x = 2,232,477.70/1,349.49
  6. Step 6: Final answer
    x = 1,654.32

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1.5x scale

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.