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Finding the Fourth Proportional to 1,880.93, 2,820.58 and 582.10

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Solution

The fourth proportional to 1,880.93, 2,820.58 and 582.10 is: 872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.93 : 2,820.58 = 582.10 : x
  2. Step 2: Convert to fraction form
    1,880.93/2,820.58 = 582.10/x
  3. Step 3: Cross multiply
    1,880.93x = 2,820.58 × 582.10
  4. Step 4: Simplify right side
    1,880.93x = 1,641,851.11
  5. Step 5: Solve for x
    x = 1,641,851.11/1,880.93
  6. Step 6: Final answer
    x = 872.89

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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.