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Finding the Fourth Proportional to 983.82, 1,476.07 and 464.22

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Solution

The fourth proportional to 983.82, 1,476.07 and 464.22 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.82 : 1,476.07 = 464.22 : x
  2. Step 2: Convert to fraction form
    983.82/1,476.07 = 464.22/x
  3. Step 3: Cross multiply
    983.82x = 1,476.07 × 464.22
  4. Step 4: Simplify right side
    983.82x = 685,218.89
  5. Step 5: Solve for x
    x = 685,218.89/983.82
  6. Step 6: Final answer
    x = 696.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.