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Finding the Fourth Proportional to 698.95, 1,046.83 and 334.00

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Solution

The fourth proportional to 698.95, 1,046.83 and 334.00 is: 500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.95 : 1,046.83 = 334.00 : x
  2. Step 2: Convert to fraction form
    698.95/1,046.83 = 334.00/x
  3. Step 3: Cross multiply
    698.95x = 1,046.83 × 334.00
  4. Step 4: Simplify right side
    698.95x = 349,639.02
  5. Step 5: Solve for x
    x = 349,639.02/698.95
  6. Step 6: Final answer
    x = 500.23

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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.