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Finding the Fourth Proportional to 940.24, 1,408.56 and 477.34

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Solution

The fourth proportional to 940.24, 1,408.56 and 477.34 is: 715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.24 : 1,408.56 = 477.34 : x
  2. Step 2: Convert to fraction form
    940.24/1,408.56 = 477.34/x
  3. Step 3: Cross multiply
    940.24x = 1,408.56 × 477.34
  4. Step 4: Simplify right side
    940.24x = 672,362.03
  5. Step 5: Solve for x
    x = 672,362.03/940.24
  6. Step 6: Final answer
    x = 715.10

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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.