Home / 1,647.04-2,470.38-414.45

Finding the Fourth Proportional to 1,647.04, 2,470.38 and 414.45

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Solution

The fourth proportional to 1,647.04, 2,470.38 and 414.45 is: 621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.04 : 2,470.38 = 414.45 : x
  2. Step 2: Convert to fraction form
    1,647.04/2,470.38 = 414.45/x
  3. Step 3: Cross multiply
    1,647.04x = 2,470.38 × 414.45
  4. Step 4: Simplify right side
    1,647.04x = 1,023,851.56
  5. Step 5: Solve for x
    x = 1,023,851.56/1,647.04
  6. Step 6: Final answer
    x = 621.63

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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.