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Finding the Fourth Proportional to 949.93, 1,423.61 and 429.28

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Solution

The fourth proportional to 949.93, 1,423.61 and 429.28 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.93 : 1,423.61 = 429.28 : x
  2. Step 2: Convert to fraction form
    949.93/1,423.61 = 429.28/x
  3. Step 3: Cross multiply
    949.93x = 1,423.61 × 429.28
  4. Step 4: Simplify right side
    949.93x = 611,128.54
  5. Step 5: Solve for x
    x = 611,128.54/949.93
  6. Step 6: Final answer
    x = 643.34

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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.