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Finding the Fourth Proportional to 974.62, 1,345.62 and 713.26

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Solution

The fourth proportional to 974.62, 1,345.62 and 713.26 is: 984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.62 : 1,345.62 = 713.26 : x
  2. Step 2: Convert to fraction form
    974.62/1,345.62 = 713.26/x
  3. Step 3: Cross multiply
    974.62x = 1,345.62 × 713.26
  4. Step 4: Simplify right side
    974.62x = 959,776.92
  5. Step 5: Solve for x
    x = 959,776.92/974.62
  6. Step 6: Final answer
    x = 984.77

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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.