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Finding the Fourth Proportional to 1,363.43, 2,045.15 and 582.77

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Solution

The fourth proportional to 1,363.43, 2,045.15 and 582.77 is: 874.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.43 : 2,045.15 = 582.77 : x
  2. Step 2: Convert to fraction form
    1,363.43/2,045.15 = 582.77/x
  3. Step 3: Cross multiply
    1,363.43x = 2,045.15 × 582.77
  4. Step 4: Simplify right side
    1,363.43x = 1,191,850.70
  5. Step 5: Solve for x
    x = 1,191,850.70/1,363.43
  6. Step 6: Final answer
    x = 874.16

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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.