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Finding the Fourth Proportional to 950.01, 1,423.59 and 429.72

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Solution

The fourth proportional to 950.01, 1,423.59 and 429.72 is: 643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.01 : 1,423.59 = 429.72 : x
  2. Step 2: Convert to fraction form
    950.01/1,423.59 = 429.72/x
  3. Step 3: Cross multiply
    950.01x = 1,423.59 × 429.72
  4. Step 4: Simplify right side
    950.01x = 611,745.09
  5. Step 5: Solve for x
    x = 611,745.09/950.01
  6. Step 6: Final answer
    x = 643.94

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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.