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Finding the Fourth Proportional to 1,306.78, 1,960.49 and 429.30

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Solution

The fourth proportional to 1,306.78, 1,960.49 and 429.30 is: 644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.78 : 1,960.49 = 429.30 : x
  2. Step 2: Convert to fraction form
    1,306.78/1,960.49 = 429.30/x
  3. Step 3: Cross multiply
    1,306.78x = 1,960.49 × 429.30
  4. Step 4: Simplify right side
    1,306.78x = 841,639.43
  5. Step 5: Solve for x
    x = 841,639.43/1,306.78
  6. Step 6: Final answer
    x = 644.06

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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.