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Finding the Fourth Proportional to 953.02, 1,428.08 and 432.72

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Solution

The fourth proportional to 953.02, 1,428.08 and 432.72 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.02 : 1,428.08 = 432.72 : x
  2. Step 2: Convert to fraction form
    953.02/1,428.08 = 432.72/x
  3. Step 3: Cross multiply
    953.02x = 1,428.08 × 432.72
  4. Step 4: Simplify right side
    953.02x = 617,958.78
  5. Step 5: Solve for x
    x = 617,958.78/953.02
  6. Step 6: Final answer
    x = 648.42

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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.