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Finding the Fourth Proportional to 942.39, 1,298.90 and 720.86

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Solution

The fourth proportional to 942.39, 1,298.90 and 720.86 is: 993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.39 : 1,298.90 = 720.86 : x
  2. Step 2: Convert to fraction form
    942.39/1,298.90 = 720.86/x
  3. Step 3: Cross multiply
    942.39x = 1,298.90 × 720.86
  4. Step 4: Simplify right side
    942.39x = 936,320.36
  5. Step 5: Solve for x
    x = 936,320.36/942.39
  6. Step 6: Final answer
    x = 993.56

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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.