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Finding the Fourth Proportional to 949.14, 1,423.77 and 429.02

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Solution

The fourth proportional to 949.14, 1,423.77 and 429.02 is: 643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.14 : 1,423.77 = 429.02 : x
  2. Step 2: Convert to fraction form
    949.14/1,423.77 = 429.02/x
  3. Step 3: Cross multiply
    949.14x = 1,423.77 × 429.02
  4. Step 4: Simplify right side
    949.14x = 610,818.69
  5. Step 5: Solve for x
    x = 610,818.69/949.14
  6. Step 6: Final answer
    x = 643.55

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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.