Home / 1,303.94-1,799.38-780.26

Finding the Fourth Proportional to 1,303.94, 1,799.38 and 780.26

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Solution

The fourth proportional to 1,303.94, 1,799.38 and 780.26 is: 1,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.94 : 1,799.38 = 780.26 : x
  2. Step 2: Convert to fraction form
    1,303.94/1,799.38 = 780.26/x
  3. Step 3: Cross multiply
    1,303.94x = 1,799.38 × 780.26
  4. Step 4: Simplify right side
    1,303.94x = 1,403,973.29
  5. Step 5: Solve for x
    x = 1,403,973.29/1,303.94
  6. Step 6: Final answer
    x = 1,076.72

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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.