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Finding the Fourth Proportional to 974.36, 1,343.72 and 643.12

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Solution

The fourth proportional to 974.36, 1,343.72 and 643.12 is: 886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.36 : 1,343.72 = 643.12 : x
  2. Step 2: Convert to fraction form
    974.36/1,343.72 = 643.12/x
  3. Step 3: Cross multiply
    974.36x = 1,343.72 × 643.12
  4. Step 4: Simplify right side
    974.36x = 864,173.21
  5. Step 5: Solve for x
    x = 864,173.21/974.36
  6. Step 6: Final answer
    x = 886.91

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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.