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Finding the Fourth Proportional to 940.86, 1,410.57 and 427.50

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Solution

The fourth proportional to 940.86, 1,410.57 and 427.50 is: 640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.86 : 1,410.57 = 427.50 : x
  2. Step 2: Convert to fraction form
    940.86/1,410.57 = 427.50/x
  3. Step 3: Cross multiply
    940.86x = 1,410.57 × 427.50
  4. Step 4: Simplify right side
    940.86x = 603,018.68
  5. Step 5: Solve for x
    x = 603,018.68/940.86
  6. Step 6: Final answer
    x = 640.92

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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.