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Finding the Fourth Proportional to 598.85, 896.77 and 378.81

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Solution

The fourth proportional to 598.85, 896.77 and 378.81 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.85 : 896.77 = 378.81 : x
  2. Step 2: Convert to fraction form
    598.85/896.77 = 378.81/x
  3. Step 3: Cross multiply
    598.85x = 896.77 × 378.81
  4. Step 4: Simplify right side
    598.85x = 339,710.90
  5. Step 5: Solve for x
    x = 339,710.90/598.85
  6. Step 6: Final answer
    x = 567.27

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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.