Home / 1,534.78-2,302.20-380.50

Finding the Fourth Proportional to 1,534.78, 2,302.20 and 380.50

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Solution

The fourth proportional to 1,534.78, 2,302.20 and 380.50 is: 570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.78 : 2,302.20 = 380.50 : x
  2. Step 2: Convert to fraction form
    1,534.78/2,302.20 = 380.50/x
  3. Step 3: Cross multiply
    1,534.78x = 2,302.20 × 380.50
  4. Step 4: Simplify right side
    1,534.78x = 875,987.10
  5. Step 5: Solve for x
    x = 875,987.10/1,534.78
  6. Step 6: Final answer
    x = 570.76

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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.