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Finding the Fourth Proportional to 642.13, 962.35 and 623.43

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Solution

The fourth proportional to 642.13, 962.35 and 623.43 is: 934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.13 : 962.35 = 623.43 : x
  2. Step 2: Convert to fraction form
    642.13/962.35 = 623.43/x
  3. Step 3: Cross multiply
    642.13x = 962.35 × 623.43
  4. Step 4: Simplify right side
    642.13x = 599,956.30
  5. Step 5: Solve for x
    x = 599,956.30/642.13
  6. Step 6: Final answer
    x = 934.33

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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.