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Finding the Fourth Proportional to 985.40, 1,475.40 and 958.40

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Solution

The fourth proportional to 985.40, 1,475.40 and 958.40 is: 1,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.40 : 1,475.40 = 958.40 : x
  2. Step 2: Convert to fraction form
    985.40/1,475.40 = 958.40/x
  3. Step 3: Cross multiply
    985.40x = 1,475.40 × 958.40
  4. Step 4: Simplify right side
    985.40x = 1,414,023.36
  5. Step 5: Solve for x
    x = 1,414,023.36/985.40
  6. Step 6: Final answer
    x = 1,434.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.