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Finding the Fourth Proportional to 949.40, 1,424.12 and 291.29

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Solution

The fourth proportional to 949.40, 1,424.12 and 291.29 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.40 : 1,424.12 = 291.29 : x
  2. Step 2: Convert to fraction form
    949.40/1,424.12 = 291.29/x
  3. Step 3: Cross multiply
    949.40x = 1,424.12 × 291.29
  4. Step 4: Simplify right side
    949.40x = 414,823.34
  5. Step 5: Solve for x
    x = 414,823.34/949.40
  6. Step 6: Final answer
    x = 436.93

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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.