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Finding the Fourth Proportional to 1,490.53, 2,235.79 and 668.35

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Solution

The fourth proportional to 1,490.53, 2,235.79 and 668.35 is: 1,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.53 : 2,235.79 = 668.35 : x
  2. Step 2: Convert to fraction form
    1,490.53/2,235.79 = 668.35/x
  3. Step 3: Cross multiply
    1,490.53x = 2,235.79 × 668.35
  4. Step 4: Simplify right side
    1,490.53x = 1,494,302.04
  5. Step 5: Solve for x
    x = 1,494,302.04/1,490.53
  6. Step 6: Final answer
    x = 1,002.53

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Why These Related Problems?

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