Home / 1,587.16-2,380.62-491.53

Finding the Fourth Proportional to 1,587.16, 2,380.62 and 491.53

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Solution

The fourth proportional to 1,587.16, 2,380.62 and 491.53 is: 737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.16 : 2,380.62 = 491.53 : x
  2. Step 2: Convert to fraction form
    1,587.16/2,380.62 = 491.53/x
  3. Step 3: Cross multiply
    1,587.16x = 2,380.62 × 491.53
  4. Step 4: Simplify right side
    1,587.16x = 1,170,146.15
  5. Step 5: Solve for x
    x = 1,170,146.15/1,587.16
  6. Step 6: Final answer
    x = 737.26

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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.