Home / 1,467.89-2,202.35-646.75

Finding the Fourth Proportional to 1,467.89, 2,202.35 and 646.75

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Solution

The fourth proportional to 1,467.89, 2,202.35 and 646.75 is: 970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.89 : 2,202.35 = 646.75 : x
  2. Step 2: Convert to fraction form
    1,467.89/2,202.35 = 646.75/x
  3. Step 3: Cross multiply
    1,467.89x = 2,202.35 × 646.75
  4. Step 4: Simplify right side
    1,467.89x = 1,424,369.86
  5. Step 5: Solve for x
    x = 1,424,369.86/1,467.89
  6. Step 6: Final answer
    x = 970.35

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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.