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Finding the Fourth Proportional to 434.84, 599.98 and 394.50

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Solution

The fourth proportional to 434.84, 599.98 and 394.50 is: 544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.84 : 599.98 = 394.50 : x
  2. Step 2: Convert to fraction form
    434.84/599.98 = 394.50/x
  3. Step 3: Cross multiply
    434.84x = 599.98 × 394.50
  4. Step 4: Simplify right side
    434.84x = 236,692.11
  5. Step 5: Solve for x
    x = 236,692.11/434.84
  6. Step 6: Final answer
    x = 544.32

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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.