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Finding the Fourth Proportional to 1,706.22, 2,556.77 and 1,156.50

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Solution

The fourth proportional to 1,706.22, 2,556.77 and 1,156.50 is: 1,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.22 : 2,556.77 = 1,156.50 : x
  2. Step 2: Convert to fraction form
    1,706.22/2,556.77 = 1,156.50/x
  3. Step 3: Cross multiply
    1,706.22x = 2,556.77 × 1,156.50
  4. Step 4: Simplify right side
    1,706.22x = 2,956,898.72
  5. Step 5: Solve for x
    x = 2,956,898.72/1,706.22
  6. Step 6: Final answer
    x = 1,733.01

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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.