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Finding the Fourth Proportional to 1,304.74, 1,958.42 and 1,157.46

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Solution

The fourth proportional to 1,304.74, 1,958.42 and 1,157.46 is: 1,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.74 : 1,958.42 = 1,157.46 : x
  2. Step 2: Convert to fraction form
    1,304.74/1,958.42 = 1,157.46/x
  3. Step 3: Cross multiply
    1,304.74x = 1,958.42 × 1,157.46
  4. Step 4: Simplify right side
    1,304.74x = 2,266,792.81
  5. Step 5: Solve for x
    x = 2,266,792.81/1,304.74
  6. Step 6: Final answer
    x = 1,737.35

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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.