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Finding the Fourth Proportional to 434.95, 599.83 and 346.73

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Solution

The fourth proportional to 434.95, 599.83 and 346.73 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.95 : 599.83 = 346.73 : x
  2. Step 2: Convert to fraction form
    434.95/599.83 = 346.73/x
  3. Step 3: Cross multiply
    434.95x = 599.83 × 346.73
  4. Step 4: Simplify right side
    434.95x = 207,974.70
  5. Step 5: Solve for x
    x = 207,974.70/434.95
  6. Step 6: Final answer
    x = 478.16

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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.