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Finding the Fourth Proportional to 713.78, 985.85 and 477.33

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Solution

The fourth proportional to 713.78, 985.85 and 477.33 is: 659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.78 : 985.85 = 477.33 : x
  2. Step 2: Convert to fraction form
    713.78/985.85 = 477.33/x
  3. Step 3: Cross multiply
    713.78x = 985.85 × 477.33
  4. Step 4: Simplify right side
    713.78x = 470,573.39
  5. Step 5: Solve for x
    x = 470,573.39/713.78
  6. Step 6: Final answer
    x = 659.27

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Double scale
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1.5x scale

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.