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Finding the Fourth Proportional to 2,045.70, 3,068.51 and 659.14

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Solution

The fourth proportional to 2,045.70, 3,068.51 and 659.14 is: 988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.70 : 3,068.51 = 659.14 : x
  2. Step 2: Convert to fraction form
    2,045.70/3,068.51 = 659.14/x
  3. Step 3: Cross multiply
    2,045.70x = 3,068.51 × 659.14
  4. Step 4: Simplify right side
    2,045.70x = 2,022,577.68
  5. Step 5: Solve for x
    x = 2,022,577.68/2,045.70
  6. Step 6: Final answer
    x = 988.70

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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.