Home / 1,450.74-2,002.12-821.05

Finding the Fourth Proportional to 1,450.74, 2,002.12 and 821.05

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Solution

The fourth proportional to 1,450.74, 2,002.12 and 821.05 is: 1,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.74 : 2,002.12 = 821.05 : x
  2. Step 2: Convert to fraction form
    1,450.74/2,002.12 = 821.05/x
  3. Step 3: Cross multiply
    1,450.74x = 2,002.12 × 821.05
  4. Step 4: Simplify right side
    1,450.74x = 1,643,840.63
  5. Step 5: Solve for x
    x = 1,643,840.63/1,450.74
  6. Step 6: Final answer
    x = 1,133.10

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1.5x scale

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.