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Finding the Fourth Proportional to 623.75, 860.49 and 361.61

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Solution

The fourth proportional to 623.75, 860.49 and 361.61 is: 498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.75 : 860.49 = 361.61 : x
  2. Step 2: Convert to fraction form
    623.75/860.49 = 361.61/x
  3. Step 3: Cross multiply
    623.75x = 860.49 × 361.61
  4. Step 4: Simplify right side
    623.75x = 311,160.71
  5. Step 5: Solve for x
    x = 311,160.71/623.75
  6. Step 6: Final answer
    x = 498.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.