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Finding the Fourth Proportional to 693.54, 957.08 and 378.80

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Solution

The fourth proportional to 693.54, 957.08 and 378.80 is: 522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.54 : 957.08 = 378.80 : x
  2. Step 2: Convert to fraction form
    693.54/957.08 = 378.80/x
  3. Step 3: Cross multiply
    693.54x = 957.08 × 378.80
  4. Step 4: Simplify right side
    693.54x = 362,544.41
  5. Step 5: Solve for x
    x = 362,544.41/693.54
  6. Step 6: Final answer
    x = 522.75

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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.