Home / 1,222.49-1,829.72-666.35

Finding the Fourth Proportional to 1,222.49, 1,829.72 and 666.35

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Solution

The fourth proportional to 1,222.49, 1,829.72 and 666.35 is: 997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.49 : 1,829.72 = 666.35 : x
  2. Step 2: Convert to fraction form
    1,222.49/1,829.72 = 666.35/x
  3. Step 3: Cross multiply
    1,222.49x = 1,829.72 × 666.35
  4. Step 4: Simplify right side
    1,222.49x = 1,219,233.92
  5. Step 5: Solve for x
    x = 1,219,233.92/1,222.49
  6. Step 6: Final answer
    x = 997.34

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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.