Home / 1,535.19-2,302.80-380.94

Finding the Fourth Proportional to 1,535.19, 2,302.80 and 380.94

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Solution

The fourth proportional to 1,535.19, 2,302.80 and 380.94 is: 571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.19 : 2,302.80 = 380.94 : x
  2. Step 2: Convert to fraction form
    1,535.19/2,302.80 = 380.94/x
  3. Step 3: Cross multiply
    1,535.19x = 2,302.80 × 380.94
  4. Step 4: Simplify right side
    1,535.19x = 877,228.63
  5. Step 5: Solve for x
    x = 877,228.63/1,535.19
  6. Step 6: Final answer
    x = 571.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.