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Finding the Fourth Proportional to 1,304.79, 1,957.50 and 380.35

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Solution

The fourth proportional to 1,304.79, 1,957.50 and 380.35 is: 570.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.79 : 1,957.50 = 380.35 : x
  2. Step 2: Convert to fraction form
    1,304.79/1,957.50 = 380.35/x
  3. Step 3: Cross multiply
    1,304.79x = 1,957.50 × 380.35
  4. Step 4: Simplify right side
    1,304.79x = 744,540.02
  5. Step 5: Solve for x
    x = 744,540.02/1,304.79
  6. Step 6: Final answer
    x = 570.62

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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.