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Finding the Fourth Proportional to 581.19, 796.84 and 570.79

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Solution

The fourth proportional to 581.19, 796.84 and 570.79 is: 782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.19 : 796.84 = 570.79 : x
  2. Step 2: Convert to fraction form
    581.19/796.84 = 570.79/x
  3. Step 3: Cross multiply
    581.19x = 796.84 × 570.79
  4. Step 4: Simplify right side
    581.19x = 454,825.45
  5. Step 5: Solve for x
    x = 454,825.45/581.19
  6. Step 6: Final answer
    x = 782.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.