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Finding the Fourth Proportional to 801.85, 1,201.58 and 582.89

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Solution

The fourth proportional to 801.85, 1,201.58 and 582.89 is: 873.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.85 : 1,201.58 = 582.89 : x
  2. Step 2: Convert to fraction form
    801.85/1,201.58 = 582.89/x
  3. Step 3: Cross multiply
    801.85x = 1,201.58 × 582.89
  4. Step 4: Simplify right side
    801.85x = 700,389.06
  5. Step 5: Solve for x
    x = 700,389.06/801.85
  6. Step 6: Final answer
    x = 873.47

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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.