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Finding the Fourth Proportional to 1,099.93, 1,518.15 and 658.06

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Solution

The fourth proportional to 1,099.93, 1,518.15 and 658.06 is: 908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.93 : 1,518.15 = 658.06 : x
  2. Step 2: Convert to fraction form
    1,099.93/1,518.15 = 658.06/x
  3. Step 3: Cross multiply
    1,099.93x = 1,518.15 × 658.06
  4. Step 4: Simplify right side
    1,099.93x = 999,033.79
  5. Step 5: Solve for x
    x = 999,033.79/1,099.93
  6. Step 6: Final answer
    x = 908.27

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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.