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Finding the Fourth Proportional to 1,408.16, 2,111.38 and 587

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Solution

The fourth proportional to 1,408.16, 2,111.38 and 587 is: 880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.16 : 2,111.38 = 587 : x
  2. Step 2: Convert to fraction form
    1,408.16/2,111.38 = 587/x
  3. Step 3: Cross multiply
    1,408.16x = 2,111.38 × 587
  4. Step 4: Simplify right side
    1,408.16x = 1,239,380.06
  5. Step 5: Solve for x
    x = 1,239,380.06/1,408.16
  6. Step 6: Final answer
    x = 880.14

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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.