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Finding the Fourth Proportional to 685.16, 946.82 and 598.76

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Solution

The fourth proportional to 685.16, 946.82 and 598.76 is: 827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.16 : 946.82 = 598.76 : x
  2. Step 2: Convert to fraction form
    685.16/946.82 = 598.76/x
  3. Step 3: Cross multiply
    685.16x = 946.82 × 598.76
  4. Step 4: Simplify right side
    685.16x = 566,917.94
  5. Step 5: Solve for x
    x = 566,917.94/685.16
  6. Step 6: Final answer
    x = 827.42

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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.