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Finding the Fourth Proportional to 2,378.80, 3,568.08 and 647.44

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Solution

The fourth proportional to 2,378.80, 3,568.08 and 647.44 is: 971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.80 : 3,568.08 = 647.44 : x
  2. Step 2: Convert to fraction form
    2,378.80/3,568.08 = 647.44/x
  3. Step 3: Cross multiply
    2,378.80x = 3,568.08 × 647.44
  4. Step 4: Simplify right side
    2,378.80x = 2,310,117.72
  5. Step 5: Solve for x
    x = 2,310,117.72/2,378.80
  6. Step 6: Final answer
    x = 971.13

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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.