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Finding the Fourth Proportional to 1,657.58, 2,486.22 and 561.83

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Solution

The fourth proportional to 1,657.58, 2,486.22 and 561.83 is: 842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.58 : 2,486.22 = 561.83 : x
  2. Step 2: Convert to fraction form
    1,657.58/2,486.22 = 561.83/x
  3. Step 3: Cross multiply
    1,657.58x = 2,486.22 × 561.83
  4. Step 4: Simplify right side
    1,657.58x = 1,396,820.55
  5. Step 5: Solve for x
    x = 1,396,820.55/1,657.58
  6. Step 6: Final answer
    x = 842.69

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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.