Home / 1,420.23-2,130.46-495.77

Finding the Fourth Proportional to 1,420.23, 2,130.46 and 495.77

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Solution

The fourth proportional to 1,420.23, 2,130.46 and 495.77 is: 743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.23 : 2,130.46 = 495.77 : x
  2. Step 2: Convert to fraction form
    1,420.23/2,130.46 = 495.77/x
  3. Step 3: Cross multiply
    1,420.23x = 2,130.46 × 495.77
  4. Step 4: Simplify right side
    1,420.23x = 1,056,205.02
  5. Step 5: Solve for x
    x = 1,056,205.02/1,420.23
  6. Step 6: Final answer
    x = 743.69

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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.