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Finding the Fourth Proportional to 974.01, 1,458.66 and 608.34

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Solution

The fourth proportional to 974.01, 1,458.66 and 608.34 is: 911.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.01 : 1,458.66 = 608.34 : x
  2. Step 2: Convert to fraction form
    974.01/1,458.66 = 608.34/x
  3. Step 3: Cross multiply
    974.01x = 1,458.66 × 608.34
  4. Step 4: Simplify right side
    974.01x = 887,361.22
  5. Step 5: Solve for x
    x = 887,361.22/974.01
  6. Step 6: Final answer
    x = 911.04

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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.