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Finding the Fourth Proportional to 942.19, 1,298.10 and 679.75

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Solution

The fourth proportional to 942.19, 1,298.10 and 679.75 is: 936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.19 : 1,298.10 = 679.75 : x
  2. Step 2: Convert to fraction form
    942.19/1,298.10 = 679.75/x
  3. Step 3: Cross multiply
    942.19x = 1,298.10 × 679.75
  4. Step 4: Simplify right side
    942.19x = 882,383.48
  5. Step 5: Solve for x
    x = 882,383.48/942.19
  6. Step 6: Final answer
    x = 936.52

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1.5x scale

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.