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Finding the Fourth Proportional to 940.81, 1,298.14 and 609.20

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Solution

The fourth proportional to 940.81, 1,298.14 and 609.20 is: 840.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.81 : 1,298.14 = 609.20 : x
  2. Step 2: Convert to fraction form
    940.81/1,298.14 = 609.20/x
  3. Step 3: Cross multiply
    940.81x = 1,298.14 × 609.20
  4. Step 4: Simplify right side
    940.81x = 790,818.87
  5. Step 5: Solve for x
    x = 790,818.87/940.81
  6. Step 6: Final answer
    x = 840.57

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Why These Related Problems?

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