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Finding the Fourth Proportional to 698.04, 1,046.98 and 185.08

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Solution

The fourth proportional to 698.04, 1,046.98 and 185.08 is: 277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 1,046.98 = 185.08 : x
  2. Step 2: Convert to fraction form
    698.04/1,046.98 = 185.08/x
  3. Step 3: Cross multiply
    698.04x = 1,046.98 × 185.08
  4. Step 4: Simplify right side
    698.04x = 193,775.06
  5. Step 5: Solve for x
    x = 193,775.06/698.04
  6. Step 6: Final answer
    x = 277.60

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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.