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Finding the Fourth Proportional to 1,300.98, 1,953 and 1,098.12

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Solution

The fourth proportional to 1,300.98, 1,953 and 1,098.12 is: 1,648.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.98 : 1,953 = 1,098.12 : x
  2. Step 2: Convert to fraction form
    1,300.98/1,953 = 1,098.12/x
  3. Step 3: Cross multiply
    1,300.98x = 1,953 × 1,098.12
  4. Step 4: Simplify right side
    1,300.98x = 2,144,628.36
  5. Step 5: Solve for x
    x = 2,144,628.36/1,300.98
  6. Step 6: Final answer
    x = 1,648.47

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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.