Home / 1,548.45-2,322.58-508.31

Finding the Fourth Proportional to 1,548.45, 2,322.58 and 508.31

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Solution

The fourth proportional to 1,548.45, 2,322.58 and 508.31 is: 762.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.45 : 2,322.58 = 508.31 : x
  2. Step 2: Convert to fraction form
    1,548.45/2,322.58 = 508.31/x
  3. Step 3: Cross multiply
    1,548.45x = 2,322.58 × 508.31
  4. Step 4: Simplify right side
    1,548.45x = 1,180,590.64
  5. Step 5: Solve for x
    x = 1,180,590.64/1,548.45
  6. Step 6: Final answer
    x = 762.44

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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.