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Finding the Fourth Proportional to 1,349.79, 1,863.33 and 883.23

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Solution

The fourth proportional to 1,349.79, 1,863.33 and 883.23 is: 1,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.79 : 1,863.33 = 883.23 : x
  2. Step 2: Convert to fraction form
    1,349.79/1,863.33 = 883.23/x
  3. Step 3: Cross multiply
    1,349.79x = 1,863.33 × 883.23
  4. Step 4: Simplify right side
    1,349.79x = 1,645,748.96
  5. Step 5: Solve for x
    x = 1,645,748.96/1,349.79
  6. Step 6: Final answer
    x = 1,219.26

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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.