Home / 1,534.75-2,302.13-380.50

Finding the Fourth Proportional to 1,534.75, 2,302.13 and 380.50

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Solution

The fourth proportional to 1,534.75, 2,302.13 and 380.50 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.75 : 2,302.13 = 380.50 : x
  2. Step 2: Convert to fraction form
    1,534.75/2,302.13 = 380.50/x
  3. Step 3: Cross multiply
    1,534.75x = 2,302.13 × 380.50
  4. Step 4: Simplify right side
    1,534.75x = 875,960.47
  5. Step 5: Solve for x
    x = 875,960.47/1,534.75
  6. Step 6: Final answer
    x = 570.75

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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.