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Finding the Fourth Proportional to 949.14, 1,424.07 and 429.09

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Solution

The fourth proportional to 949.14, 1,424.07 and 429.09 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.14 : 1,424.07 = 429.09 : x
  2. Step 2: Convert to fraction form
    949.14/1,424.07 = 429.09/x
  3. Step 3: Cross multiply
    949.14x = 1,424.07 × 429.09
  4. Step 4: Simplify right side
    949.14x = 611,054.20
  5. Step 5: Solve for x
    x = 611,054.20/949.14
  6. Step 6: Final answer
    x = 643.80

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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.