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Finding the Fourth Proportional to 974.02, 1,343.87 and 601.06

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Solution

The fourth proportional to 974.02, 1,343.87 and 601.06 is: 829.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.02 : 1,343.87 = 601.06 : x
  2. Step 2: Convert to fraction form
    974.02/1,343.87 = 601.06/x
  3. Step 3: Cross multiply
    974.02x = 1,343.87 × 601.06
  4. Step 4: Simplify right side
    974.02x = 807,743.50
  5. Step 5: Solve for x
    x = 807,743.50/974.02
  6. Step 6: Final answer
    x = 829.29

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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.