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Finding the Fourth Proportional to 1,287.50, 1,776.99 and 735.50

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Solution

The fourth proportional to 1,287.50, 1,776.99 and 735.50 is: 1,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.50 : 1,776.99 = 735.50 : x
  2. Step 2: Convert to fraction form
    1,287.50/1,776.99 = 735.50/x
  3. Step 3: Cross multiply
    1,287.50x = 1,776.99 × 735.50
  4. Step 4: Simplify right side
    1,287.50x = 1,306,976.15
  5. Step 5: Solve for x
    x = 1,306,976.15/1,287.50
  6. Step 6: Final answer
    x = 1,015.13

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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.