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Finding the Fourth Proportional to 1,706.93, 2,561.31 and 977.93

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Solution

The fourth proportional to 1,706.93, 2,561.31 and 977.93 is: 1,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.93 : 2,561.31 = 977.93 : x
  2. Step 2: Convert to fraction form
    1,706.93/2,561.31 = 977.93/x
  3. Step 3: Cross multiply
    1,706.93x = 2,561.31 × 977.93
  4. Step 4: Simplify right side
    1,706.93x = 2,504,781.89
  5. Step 5: Solve for x
    x = 2,504,781.89/1,706.93
  6. Step 6: Final answer
    x = 1,467.42

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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.