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Finding the Fourth Proportional to 833, 1,150.50 and 570.56

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Solution

The fourth proportional to 833, 1,150.50 and 570.56 is: 788.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    833 : 1,150.50 = 570.56 : x
  2. Step 2: Convert to fraction form
    833/1,150.50 = 570.56/x
  3. Step 3: Cross multiply
    833x = 1,150.50 × 570.56
  4. Step 4: Simplify right side
    833x = 656,429.28
  5. Step 5: Solve for x
    x = 656,429.28/833
  6. Step 6: Final answer
    x = 788.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.