Home / 1,508.44-2,261.58-583.20

Finding the Fourth Proportional to 1,508.44, 2,261.58 and 583.20

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Solution

The fourth proportional to 1,508.44, 2,261.58 and 583.20 is: 874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.44 : 2,261.58 = 583.20 : x
  2. Step 2: Convert to fraction form
    1,508.44/2,261.58 = 583.20/x
  3. Step 3: Cross multiply
    1,508.44x = 2,261.58 × 583.20
  4. Step 4: Simplify right side
    1,508.44x = 1,318,953.46
  5. Step 5: Solve for x
    x = 1,318,953.46/1,508.44
  6. Step 6: Final answer
    x = 874.38

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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.