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Finding the Fourth Proportional to 940.92, 1,298.03 and 609.46

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Solution

The fourth proportional to 940.92, 1,298.03 and 609.46 is: 840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.92 : 1,298.03 = 609.46 : x
  2. Step 2: Convert to fraction form
    940.92/1,298.03 = 609.46/x
  3. Step 3: Cross multiply
    940.92x = 1,298.03 × 609.46
  4. Step 4: Simplify right side
    940.92x = 791,095.64
  5. Step 5: Solve for x
    x = 791,095.64/940.92
  6. Step 6: Final answer
    x = 840.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.