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Finding the Fourth Proportional to 974.58, 1,343.52 and 601.31

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Solution

The fourth proportional to 974.58, 1,343.52 and 601.31 is: 828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.58 : 1,343.52 = 601.31 : x
  2. Step 2: Convert to fraction form
    974.58/1,343.52 = 601.31/x
  3. Step 3: Cross multiply
    974.58x = 1,343.52 × 601.31
  4. Step 4: Simplify right side
    974.58x = 807,862.29
  5. Step 5: Solve for x
    x = 807,862.29/974.58
  6. Step 6: Final answer
    x = 828.94

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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.