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Finding the Fourth Proportional to 1,706.03, 2,557.91 and 666.13

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Solution

The fourth proportional to 1,706.03, 2,557.91 and 666.13 is: 998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.03 : 2,557.91 = 666.13 : x
  2. Step 2: Convert to fraction form
    1,706.03/2,557.91 = 666.13/x
  3. Step 3: Cross multiply
    1,706.03x = 2,557.91 × 666.13
  4. Step 4: Simplify right side
    1,706.03x = 1,703,900.59
  5. Step 5: Solve for x
    x = 1,703,900.59/1,706.03
  6. Step 6: Final answer
    x = 998.75

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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.