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Finding the Fourth Proportional to 1,408.73, 2,113.07 and 434.84

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Solution

The fourth proportional to 1,408.73, 2,113.07 and 434.84 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.73 : 2,113.07 = 434.84 : x
  2. Step 2: Convert to fraction form
    1,408.73/2,113.07 = 434.84/x
  3. Step 3: Cross multiply
    1,408.73x = 2,113.07 × 434.84
  4. Step 4: Simplify right side
    1,408.73x = 918,837.88
  5. Step 5: Solve for x
    x = 918,837.88/1,408.73
  6. Step 6: Final answer
    x = 652.25

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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.