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Finding the Fourth Proportional to 713.64, 985.24 and 477.92

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Solution

The fourth proportional to 713.64, 985.24 and 477.92 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 985.24 = 477.92 : x
  2. Step 2: Convert to fraction form
    713.64/985.24 = 477.92/x
  3. Step 3: Cross multiply
    713.64x = 985.24 × 477.92
  4. Step 4: Simplify right side
    713.64x = 470,865.90
  5. Step 5: Solve for x
    x = 470,865.90/713.64
  6. Step 6: Final answer
    x = 659.81

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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.