Home / 1,587.54-2,380.44-491.60

Finding the Fourth Proportional to 1,587.54, 2,380.44 and 491.60

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Solution

The fourth proportional to 1,587.54, 2,380.44 and 491.60 is: 737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.54 : 2,380.44 = 491.60 : x
  2. Step 2: Convert to fraction form
    1,587.54/2,380.44 = 491.60/x
  3. Step 3: Cross multiply
    1,587.54x = 2,380.44 × 491.60
  4. Step 4: Simplify right side
    1,587.54x = 1,170,224.30
  5. Step 5: Solve for x
    x = 1,170,224.30/1,587.54
  6. Step 6: Final answer
    x = 737.13

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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.