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Finding the Fourth Proportional to 698.66, 1,047.70 and 259.94

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Solution

The fourth proportional to 698.66, 1,047.70 and 259.94 is: 389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.66 : 1,047.70 = 259.94 : x
  2. Step 2: Convert to fraction form
    698.66/1,047.70 = 259.94/x
  3. Step 3: Cross multiply
    698.66x = 1,047.70 × 259.94
  4. Step 4: Simplify right side
    698.66x = 272,339.14
  5. Step 5: Solve for x
    x = 272,339.14/698.66
  6. Step 6: Final answer
    x = 389.80

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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.