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Finding the Fourth Proportional to 1,347.50, 2,019.67 and 762.26

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Solution

The fourth proportional to 1,347.50, 2,019.67 and 762.26 is: 1,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.50 : 2,019.67 = 762.26 : x
  2. Step 2: Convert to fraction form
    1,347.50/2,019.67 = 762.26/x
  3. Step 3: Cross multiply
    1,347.50x = 2,019.67 × 762.26
  4. Step 4: Simplify right side
    1,347.50x = 1,539,501.65
  5. Step 5: Solve for x
    x = 1,539,501.65/1,347.50
  6. Step 6: Final answer
    x = 1,142.49

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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.