Home / 1,106.62-1,658.85-942.46

Finding the Fourth Proportional to 1,106.62, 1,658.85 and 942.46

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Solution

The fourth proportional to 1,106.62, 1,658.85 and 942.46 is: 1,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.62 : 1,658.85 = 942.46 : x
  2. Step 2: Convert to fraction form
    1,106.62/1,658.85 = 942.46/x
  3. Step 3: Cross multiply
    1,106.62x = 1,658.85 × 942.46
  4. Step 4: Simplify right side
    1,106.62x = 1,563,399.77
  5. Step 5: Solve for x
    x = 1,563,399.77/1,106.62
  6. Step 6: Final answer
    x = 1,412.77

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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.