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Finding the Fourth Proportional to 1,360.50, 2,037.50 and 782.16

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Solution

The fourth proportional to 1,360.50, 2,037.50 and 782.16 is: 1,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.50 : 2,037.50 = 782.16 : x
  2. Step 2: Convert to fraction form
    1,360.50/2,037.50 = 782.16/x
  3. Step 3: Cross multiply
    1,360.50x = 2,037.50 × 782.16
  4. Step 4: Simplify right side
    1,360.50x = 1,593,646.78
  5. Step 5: Solve for x
    x = 1,593,646.78/1,360.50
  6. Step 6: Final answer
    x = 1,171.37

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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.