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Finding the Fourth Proportional to 1,423.49, 2,135.00 and 397.25

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Solution

The fourth proportional to 1,423.49, 2,135.00 and 397.25 is: 595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.49 : 2,135.00 = 397.25 : x
  2. Step 2: Convert to fraction form
    1,423.49/2,135.00 = 397.25/x
  3. Step 3: Cross multiply
    1,423.49x = 2,135.00 × 397.25
  4. Step 4: Simplify right side
    1,423.49x = 848,126.76
  5. Step 5: Solve for x
    x = 848,126.76/1,423.49
  6. Step 6: Final answer
    x = 595.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.