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Finding the Fourth Proportional to 434.31, 603.50 and 429.87

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Solution

The fourth proportional to 434.31, 603.50 and 429.87 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.31 : 603.50 = 429.87 : x
  2. Step 2: Convert to fraction form
    434.31/603.50 = 429.87/x
  3. Step 3: Cross multiply
    434.31x = 603.50 × 429.87
  4. Step 4: Simplify right side
    434.31x = 259,427.62
  5. Step 5: Solve for x
    x = 259,427.62/434.31
  6. Step 6: Final answer
    x = 597.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.