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Finding the Fourth Proportional to 1,306.66, 1,960.26 and 429.26

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Solution

The fourth proportional to 1,306.66, 1,960.26 and 429.26 is: 643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.66 : 1,960.26 = 429.26 : x
  2. Step 2: Convert to fraction form
    1,306.66/1,960.26 = 429.26/x
  3. Step 3: Cross multiply
    1,306.66x = 1,960.26 × 429.26
  4. Step 4: Simplify right side
    1,306.66x = 841,461.21
  5. Step 5: Solve for x
    x = 841,461.21/1,306.66
  6. Step 6: Final answer
    x = 643.98

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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.