Home / 1,598.40-2,203.20-1,382.40

Finding the Fourth Proportional to 1,598.40, 2,203.20 and 1,382.40

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Solution

The fourth proportional to 1,598.40, 2,203.20 and 1,382.40 is: 1,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.40 : 2,203.20 = 1,382.40 : x
  2. Step 2: Convert to fraction form
    1,598.40/2,203.20 = 1,382.40/x
  3. Step 3: Cross multiply
    1,598.40x = 2,203.20 × 1,382.40
  4. Step 4: Simplify right side
    1,598.40x = 3,045,703.68
  5. Step 5: Solve for x
    x = 3,045,703.68/1,598.40
  6. Step 6: Final answer
    x = 1,905.47

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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.