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Finding the Fourth Proportional to 1,369.58, 2,056.14 and 639.63

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Solution

The fourth proportional to 1,369.58, 2,056.14 and 639.63 is: 960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.58 : 2,056.14 = 639.63 : x
  2. Step 2: Convert to fraction form
    1,369.58/2,056.14 = 639.63/x
  3. Step 3: Cross multiply
    1,369.58x = 2,056.14 × 639.63
  4. Step 4: Simplify right side
    1,369.58x = 1,315,168.83
  5. Step 5: Solve for x
    x = 1,315,168.83/1,369.58
  6. Step 6: Final answer
    x = 960.28

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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.