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Finding the Fourth Proportional to 1,399.37, 2,097.13 and 648.00

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Solution

The fourth proportional to 1,399.37, 2,097.13 and 648.00 is: 971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.37 : 2,097.13 = 648.00 : x
  2. Step 2: Convert to fraction form
    1,399.37/2,097.13 = 648.00/x
  3. Step 3: Cross multiply
    1,399.37x = 2,097.13 × 648.00
  4. Step 4: Simplify right side
    1,399.37x = 1,358,929.75
  5. Step 5: Solve for x
    x = 1,358,929.75/1,399.37
  6. Step 6: Final answer
    x = 971.10

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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.