Home / 1,202.24-1,658.63-848.68

Finding the Fourth Proportional to 1,202.24, 1,658.63 and 848.68

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Solution

The fourth proportional to 1,202.24, 1,658.63 and 848.68 is: 1,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.24 : 1,658.63 = 848.68 : x
  2. Step 2: Convert to fraction form
    1,202.24/1,658.63 = 848.68/x
  3. Step 3: Cross multiply
    1,202.24x = 1,658.63 × 848.68
  4. Step 4: Simplify right side
    1,202.24x = 1,407,639.31
  5. Step 5: Solve for x
    x = 1,407,639.31/1,202.24
  6. Step 6: Final answer
    x = 1,170.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.