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Finding the Fourth Proportional to 949.72, 1,424.21 and 291.40

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Solution

The fourth proportional to 949.72, 1,424.21 and 291.40 is: 436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.72 : 1,424.21 = 291.40 : x
  2. Step 2: Convert to fraction form
    949.72/1,424.21 = 291.40/x
  3. Step 3: Cross multiply
    949.72x = 1,424.21 × 291.40
  4. Step 4: Simplify right side
    949.72x = 415,014.79
  5. Step 5: Solve for x
    x = 415,014.79/949.72
  6. Step 6: Final answer
    x = 436.99

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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.