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Finding the Fourth Proportional to 940.72, 1,410.32 and 393.31

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Solution

The fourth proportional to 940.72, 1,410.32 and 393.31 is: 589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.72 : 1,410.32 = 393.31 : x
  2. Step 2: Convert to fraction form
    940.72/1,410.32 = 393.31/x
  3. Step 3: Cross multiply
    940.72x = 1,410.32 × 393.31
  4. Step 4: Simplify right side
    940.72x = 554,692.76
  5. Step 5: Solve for x
    x = 554,692.76/940.72
  6. Step 6: Final answer
    x = 589.65

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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.