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Finding the Fourth Proportional to 1,408.53, 2,111.33 and 585.68

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Solution

The fourth proportional to 1,408.53, 2,111.33 and 585.68 is: 877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.53 : 2,111.33 = 585.68 : x
  2. Step 2: Convert to fraction form
    1,408.53/2,111.33 = 585.68/x
  3. Step 3: Cross multiply
    1,408.53x = 2,111.33 × 585.68
  4. Step 4: Simplify right side
    1,408.53x = 1,236,550.27
  5. Step 5: Solve for x
    x = 1,236,550.27/1,408.53
  6. Step 6: Final answer
    x = 877.90

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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.