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Finding the Fourth Proportional to 2,378.64, 3,568.15 and 623.64

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Solution

The fourth proportional to 2,378.64, 3,568.15 and 623.64 is: 935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.64 : 3,568.15 = 623.64 : x
  2. Step 2: Convert to fraction form
    2,378.64/3,568.15 = 623.64/x
  3. Step 3: Cross multiply
    2,378.64x = 3,568.15 × 623.64
  4. Step 4: Simplify right side
    2,378.64x = 2,225,223.23
  5. Step 5: Solve for x
    x = 2,225,223.23/2,378.64
  6. Step 6: Final answer
    x = 935.50

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1.5x scale

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.