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Finding the Fourth Proportional to 1,579.52, 2,367.32 and 654.48

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Solution

The fourth proportional to 1,579.52, 2,367.32 and 654.48 is: 980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.52 : 2,367.32 = 654.48 : x
  2. Step 2: Convert to fraction form
    1,579.52/2,367.32 = 654.48/x
  3. Step 3: Cross multiply
    1,579.52x = 2,367.32 × 654.48
  4. Step 4: Simplify right side
    1,579.52x = 1,549,363.59
  5. Step 5: Solve for x
    x = 1,549,363.59/1,579.52
  6. Step 6: Final answer
    x = 980.91

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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.