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Finding the Fourth Proportional to 1,098.82, 1,648.54 and 612.22

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Solution

The fourth proportional to 1,098.82, 1,648.54 and 612.22 is: 918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.82 : 1,648.54 = 612.22 : x
  2. Step 2: Convert to fraction form
    1,098.82/1,648.54 = 612.22/x
  3. Step 3: Cross multiply
    1,098.82x = 1,648.54 × 612.22
  4. Step 4: Simplify right side
    1,098.82x = 1,009,269.16
  5. Step 5: Solve for x
    x = 1,009,269.16/1,098.82
  6. Step 6: Final answer
    x = 918.50

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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.