Home / 1,283.13-1,922.40-460.88

Finding the Fourth Proportional to 1,283.13, 1,922.40 and 460.88

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Solution

The fourth proportional to 1,283.13, 1,922.40 and 460.88 is: 690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.13 : 1,922.40 = 460.88 : x
  2. Step 2: Convert to fraction form
    1,283.13/1,922.40 = 460.88/x
  3. Step 3: Cross multiply
    1,283.13x = 1,922.40 × 460.88
  4. Step 4: Simplify right side
    1,283.13x = 885,986.10
  5. Step 5: Solve for x
    x = 885,986.10/1,283.13
  6. Step 6: Final answer
    x = 690.49

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1.5x scale

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.