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Finding the Fourth Proportional to 623.07, 932.93 and 329.96

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Solution

The fourth proportional to 623.07, 932.93 and 329.96 is: 494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.07 : 932.93 = 329.96 : x
  2. Step 2: Convert to fraction form
    623.07/932.93 = 329.96/x
  3. Step 3: Cross multiply
    623.07x = 932.93 × 329.96
  4. Step 4: Simplify right side
    623.07x = 307,829.58
  5. Step 5: Solve for x
    x = 307,829.58/623.07
  6. Step 6: Final answer
    x = 494.05

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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.