Home / 1,420.75-2,130.77-496.17

Finding the Fourth Proportional to 1,420.75, 2,130.77 and 496.17

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Solution

The fourth proportional to 1,420.75, 2,130.77 and 496.17 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.75 : 2,130.77 = 496.17 : x
  2. Step 2: Convert to fraction form
    1,420.75/2,130.77 = 496.17/x
  3. Step 3: Cross multiply
    1,420.75x = 2,130.77 × 496.17
  4. Step 4: Simplify right side
    1,420.75x = 1,057,224.15
  5. Step 5: Solve for x
    x = 1,057,224.15/1,420.75
  6. Step 6: Final answer
    x = 744.13

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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.