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Finding the Fourth Proportional to 1,053.90, 1,579.86 and 968.04

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Solution

The fourth proportional to 1,053.90, 1,579.86 and 968.04 is: 1,451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.90 : 1,579.86 = 968.04 : x
  2. Step 2: Convert to fraction form
    1,053.90/1,579.86 = 968.04/x
  3. Step 3: Cross multiply
    1,053.90x = 1,579.86 × 968.04
  4. Step 4: Simplify right side
    1,053.90x = 1,529,367.67
  5. Step 5: Solve for x
    x = 1,529,367.67/1,053.90
  6. Step 6: Final answer
    x = 1,451.15

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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.