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Finding the Fourth Proportional to 956.92, 1,320.73 and 584.23

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Solution

The fourth proportional to 956.92, 1,320.73 and 584.23 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.92 : 1,320.73 = 584.23 : x
  2. Step 2: Convert to fraction form
    956.92/1,320.73 = 584.23/x
  3. Step 3: Cross multiply
    956.92x = 1,320.73 × 584.23
  4. Step 4: Simplify right side
    956.92x = 771,605.33
  5. Step 5: Solve for x
    x = 771,605.33/956.92
  6. Step 6: Final answer
    x = 806.34

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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.