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Finding the Fourth Proportional to 1,400.63, 2,099.75 and 578.39

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Solution

The fourth proportional to 1,400.63, 2,099.75 and 578.39 is: 867.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.63 : 2,099.75 = 578.39 : x
  2. Step 2: Convert to fraction form
    1,400.63/2,099.75 = 578.39/x
  3. Step 3: Cross multiply
    1,400.63x = 2,099.75 × 578.39
  4. Step 4: Simplify right side
    1,400.63x = 1,214,461.01
  5. Step 5: Solve for x
    x = 1,214,461.01/1,400.63
  6. Step 6: Final answer
    x = 867.09

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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.