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Finding the Fourth Proportional to 874.90, 1,312.78 and 582.60

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Solution

The fourth proportional to 874.90, 1,312.78 and 582.60 is: 874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.90 : 1,312.78 = 582.60 : x
  2. Step 2: Convert to fraction form
    874.90/1,312.78 = 582.60/x
  3. Step 3: Cross multiply
    874.90x = 1,312.78 × 582.60
  4. Step 4: Simplify right side
    874.90x = 764,825.63
  5. Step 5: Solve for x
    x = 764,825.63/874.90
  6. Step 6: Final answer
    x = 874.19

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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.