Home / 1,106.16-1,657.32-845.68

Finding the Fourth Proportional to 1,106.16, 1,657.32 and 845.68

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Solution

The fourth proportional to 1,106.16, 1,657.32 and 845.68 is: 1,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.16 : 1,657.32 = 845.68 : x
  2. Step 2: Convert to fraction form
    1,106.16/1,657.32 = 845.68/x
  3. Step 3: Cross multiply
    1,106.16x = 1,657.32 × 845.68
  4. Step 4: Simplify right side
    1,106.16x = 1,401,562.38
  5. Step 5: Solve for x
    x = 1,401,562.38/1,106.16
  6. Step 6: Final answer
    x = 1,267.05

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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.