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Finding the Fourth Proportional to 1,312.43, 1,969.49 and 735.71

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Solution

The fourth proportional to 1,312.43, 1,969.49 and 735.71 is: 1,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.43 : 1,969.49 = 735.71 : x
  2. Step 2: Convert to fraction form
    1,312.43/1,969.49 = 735.71/x
  3. Step 3: Cross multiply
    1,312.43x = 1,969.49 × 735.71
  4. Step 4: Simplify right side
    1,312.43x = 1,448,969.81
  5. Step 5: Solve for x
    x = 1,448,969.81/1,312.43
  6. Step 6: Final answer
    x = 1,104.04

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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.