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Finding the Fourth Proportional to 623.48, 934.74 and 537.83

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Solution

The fourth proportional to 623.48, 934.74 and 537.83 is: 806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.48 : 934.74 = 537.83 : x
  2. Step 2: Convert to fraction form
    623.48/934.74 = 537.83/x
  3. Step 3: Cross multiply
    623.48x = 934.74 × 537.83
  4. Step 4: Simplify right side
    623.48x = 502,726.54
  5. Step 5: Solve for x
    x = 502,726.54/623.48
  6. Step 6: Final answer
    x = 806.33

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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.