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Finding the Fourth Proportional to 1,363.58, 2,045.62 and 779.24

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Solution

The fourth proportional to 1,363.58, 2,045.62 and 779.24 is: 1,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.58 : 2,045.62 = 779.24 : x
  2. Step 2: Convert to fraction form
    1,363.58/2,045.62 = 779.24/x
  3. Step 3: Cross multiply
    1,363.58x = 2,045.62 × 779.24
  4. Step 4: Simplify right side
    1,363.58x = 1,594,035.02
  5. Step 5: Solve for x
    x = 1,594,035.02/1,363.58
  6. Step 6: Final answer
    x = 1,169.01

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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.