Home / 1,604.02-2,213.04-974.80

Finding the Fourth Proportional to 1,604.02, 2,213.04 and 974.80

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Solution

The fourth proportional to 1,604.02, 2,213.04 and 974.80 is: 1,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.02 : 2,213.04 = 974.80 : x
  2. Step 2: Convert to fraction form
    1,604.02/2,213.04 = 974.80/x
  3. Step 3: Cross multiply
    1,604.02x = 2,213.04 × 974.80
  4. Step 4: Simplify right side
    1,604.02x = 2,157,271.39
  5. Step 5: Solve for x
    x = 2,157,271.39/1,604.02
  6. Step 6: Final answer
    x = 1,344.92

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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.