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Finding the Fourth Proportional to 942.60, 1,298.10 and 680.20

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Solution

The fourth proportional to 942.60, 1,298.10 and 680.20 is: 936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.60 : 1,298.10 = 680.20 : x
  2. Step 2: Convert to fraction form
    942.60/1,298.10 = 680.20/x
  3. Step 3: Cross multiply
    942.60x = 1,298.10 × 680.20
  4. Step 4: Simplify right side
    942.60x = 882,967.62
  5. Step 5: Solve for x
    x = 882,967.62/942.60
  6. Step 6: Final answer
    x = 936.74

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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.