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Finding the Fourth Proportional to 939.54, 1,408.60 and 477.10

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Solution

The fourth proportional to 939.54, 1,408.60 and 477.10 is: 715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.54 : 1,408.60 = 477.10 : x
  2. Step 2: Convert to fraction form
    939.54/1,408.60 = 477.10/x
  3. Step 3: Cross multiply
    939.54x = 1,408.60 × 477.10
  4. Step 4: Simplify right side
    939.54x = 672,043.06
  5. Step 5: Solve for x
    x = 672,043.06/939.54
  6. Step 6: Final answer
    x = 715.29

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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.