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Finding the Fourth Proportional to 698.89, 964.41 and 419.14

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Solution

The fourth proportional to 698.89, 964.41 and 419.14 is: 578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.89 : 964.41 = 419.14 : x
  2. Step 2: Convert to fraction form
    698.89/964.41 = 419.14/x
  3. Step 3: Cross multiply
    698.89x = 964.41 × 419.14
  4. Step 4: Simplify right side
    698.89x = 404,222.81
  5. Step 5: Solve for x
    x = 404,222.81/698.89
  6. Step 6: Final answer
    x = 578.38

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.