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Finding the Fourth Proportional to 1,403.25, 2,103.44 and 582

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Solution

The fourth proportional to 1,403.25, 2,103.44 and 582 is: 872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.25 : 2,103.44 = 582 : x
  2. Step 2: Convert to fraction form
    1,403.25/2,103.44 = 582/x
  3. Step 3: Cross multiply
    1,403.25x = 2,103.44 × 582
  4. Step 4: Simplify right side
    1,403.25x = 1,224,199.17
  5. Step 5: Solve for x
    x = 1,224,199.17/1,403.25
  6. Step 6: Final answer
    x = 872.40

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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.