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Finding the Fourth Proportional to 1,698.89, 2,344.59 and 953

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Solution

The fourth proportional to 1,698.89, 2,344.59 and 953 is: 1,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.89 : 2,344.59 = 953 : x
  2. Step 2: Convert to fraction form
    1,698.89/2,344.59 = 953/x
  3. Step 3: Cross multiply
    1,698.89x = 2,344.59 × 953
  4. Step 4: Simplify right side
    1,698.89x = 2,234,394.27
  5. Step 5: Solve for x
    x = 2,234,394.27/1,698.89
  6. Step 6: Final answer
    x = 1,315.21

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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.