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Finding the Fourth Proportional to 698.10, 942.71 and 698.10

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Solution

The fourth proportional to 698.10, 942.71 and 698.10 is: 942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.10 : 942.71 = 698.10 : x
  2. Step 2: Convert to fraction form
    698.10/942.71 = 698.10/x
  3. Step 3: Cross multiply
    698.10x = 942.71 × 698.10
  4. Step 4: Simplify right side
    698.10x = 658,102.36
  5. Step 5: Solve for x
    x = 658,102.36/698.10
  6. Step 6: Final answer
    x = 942.71

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.