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Finding the Fourth Proportional to 578.21, 798.94 and 504.40

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Solution

The fourth proportional to 578.21, 798.94 and 504.40 is: 696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.21 : 798.94 = 504.40 : x
  2. Step 2: Convert to fraction form
    578.21/798.94 = 504.40/x
  3. Step 3: Cross multiply
    578.21x = 798.94 × 504.40
  4. Step 4: Simplify right side
    578.21x = 402,981.34
  5. Step 5: Solve for x
    x = 402,981.34/578.21
  6. Step 6: Final answer
    x = 696.95

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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.