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Finding the Fourth Proportional to 949.01, 1,423.08 and 290.66

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Solution

The fourth proportional to 949.01, 1,423.08 and 290.66 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.01 : 1,423.08 = 290.66 : x
  2. Step 2: Convert to fraction form
    949.01/1,423.08 = 290.66/x
  3. Step 3: Cross multiply
    949.01x = 1,423.08 × 290.66
  4. Step 4: Simplify right side
    949.01x = 413,625.32
  5. Step 5: Solve for x
    x = 413,625.32/949.01
  6. Step 6: Final answer
    x = 435.85

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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.