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Finding the Fourth Proportional to 1,703.62, 2,554.41 and 913.42

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Solution

The fourth proportional to 1,703.62, 2,554.41 and 913.42 is: 1,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.62 : 2,554.41 = 913.42 : x
  2. Step 2: Convert to fraction form
    1,703.62/2,554.41 = 913.42/x
  3. Step 3: Cross multiply
    1,703.62x = 2,554.41 × 913.42
  4. Step 4: Simplify right side
    1,703.62x = 2,333,236.41
  5. Step 5: Solve for x
    x = 2,333,236.41/1,703.62
  6. Step 6: Final answer
    x = 1,369.58

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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.