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Finding the Fourth Proportional to 985.86, 1,358.85 and 723.54

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Solution

The fourth proportional to 985.86, 1,358.85 and 723.54 is: 997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.86 : 1,358.85 = 723.54 : x
  2. Step 2: Convert to fraction form
    985.86/1,358.85 = 723.54/x
  3. Step 3: Cross multiply
    985.86x = 1,358.85 × 723.54
  4. Step 4: Simplify right side
    985.86x = 983,182.33
  5. Step 5: Solve for x
    x = 983,182.33/985.86
  6. Step 6: Final answer
    x = 997.28

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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.