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Finding the Fourth Proportional to 940.49, 1,408.68 and 529.40

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Solution

The fourth proportional to 940.49, 1,408.68 and 529.40 is: 792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.49 : 1,408.68 = 529.40 : x
  2. Step 2: Convert to fraction form
    940.49/1,408.68 = 529.40/x
  3. Step 3: Cross multiply
    940.49x = 1,408.68 × 529.40
  4. Step 4: Simplify right side
    940.49x = 745,755.19
  5. Step 5: Solve for x
    x = 745,755.19/940.49
  6. Step 6: Final answer
    x = 792.94

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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.