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Finding the Fourth Proportional to 2,309.37, 3,464.06 and 578.00

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Solution

The fourth proportional to 2,309.37, 3,464.06 and 578.00 is: 866.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.37 : 3,464.06 = 578.00 : x
  2. Step 2: Convert to fraction form
    2,309.37/3,464.06 = 578.00/x
  3. Step 3: Cross multiply
    2,309.37x = 3,464.06 × 578.00
  4. Step 4: Simplify right side
    2,309.37x = 2,002,206.47
  5. Step 5: Solve for x
    x = 2,002,206.47/2,309.37
  6. Step 6: Final answer
    x = 866.99

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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.