Home / 1,587.18-2,380.86-547.23

Finding the Fourth Proportional to 1,587.18, 2,380.86 and 547.23

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Solution

The fourth proportional to 1,587.18, 2,380.86 and 547.23 is: 820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.18 : 2,380.86 = 547.23 : x
  2. Step 2: Convert to fraction form
    1,587.18/2,380.86 = 547.23/x
  3. Step 3: Cross multiply
    1,587.18x = 2,380.86 × 547.23
  4. Step 4: Simplify right side
    1,587.18x = 1,302,878.02
  5. Step 5: Solve for x
    x = 1,302,878.02/1,587.18
  6. Step 6: Final answer
    x = 820.88

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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.