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Finding the Fourth Proportional to 1,294.60, 1,786.50 and 735.08

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Solution

The fourth proportional to 1,294.60, 1,786.50 and 735.08 is: 1,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.60 : 1,786.50 = 735.08 : x
  2. Step 2: Convert to fraction form
    1,294.60/1,786.50 = 735.08/x
  3. Step 3: Cross multiply
    1,294.60x = 1,786.50 × 735.08
  4. Step 4: Simplify right side
    1,294.60x = 1,313,220.42
  5. Step 5: Solve for x
    x = 1,313,220.42/1,294.60
  6. Step 6: Final answer
    x = 1,014.38

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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.