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Finding the Fourth Proportional to 1,408.54, 2,113.08 and 434.47

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Solution

The fourth proportional to 1,408.54, 2,113.08 and 434.47 is: 651.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.54 : 2,113.08 = 434.47 : x
  2. Step 2: Convert to fraction form
    1,408.54/2,113.08 = 434.47/x
  3. Step 3: Cross multiply
    1,408.54x = 2,113.08 × 434.47
  4. Step 4: Simplify right side
    1,408.54x = 918,069.87
  5. Step 5: Solve for x
    x = 918,069.87/1,408.54
  6. Step 6: Final answer
    x = 651.79

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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.