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Finding the Fourth Proportional to 623.55, 935.19 and 379.74

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Solution

The fourth proportional to 623.55, 935.19 and 379.74 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.55 : 935.19 = 379.74 : x
  2. Step 2: Convert to fraction form
    623.55/935.19 = 379.74/x
  3. Step 3: Cross multiply
    623.55x = 935.19 × 379.74
  4. Step 4: Simplify right side
    623.55x = 355,129.05
  5. Step 5: Solve for x
    x = 355,129.05/623.55
  6. Step 6: Final answer
    x = 569.53

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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.