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Finding the Fourth Proportional to 1,098.54, 1,515.99 and 601.19

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Solution

The fourth proportional to 1,098.54, 1,515.99 and 601.19 is: 829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.54 : 1,515.99 = 601.19 : x
  2. Step 2: Convert to fraction form
    1,098.54/1,515.99 = 601.19/x
  3. Step 3: Cross multiply
    1,098.54x = 1,515.99 × 601.19
  4. Step 4: Simplify right side
    1,098.54x = 911,398.03
  5. Step 5: Solve for x
    x = 911,398.03/1,098.54
  6. Step 6: Final answer
    x = 829.64

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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.