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Finding the Fourth Proportional to 598.70, 821.05 and 573.75

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Solution

The fourth proportional to 598.70, 821.05 and 573.75 is: 786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.70 : 821.05 = 573.75 : x
  2. Step 2: Convert to fraction form
    598.70/821.05 = 573.75/x
  3. Step 3: Cross multiply
    598.70x = 821.05 × 573.75
  4. Step 4: Simplify right side
    598.70x = 471,074.57
  5. Step 5: Solve for x
    x = 471,074.57/598.70
  6. Step 6: Final answer
    x = 786.84

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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.