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Finding the Fourth Proportional to 698.88, 1,048.86 and 504.48

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Solution

The fourth proportional to 698.88, 1,048.86 and 504.48 is: 757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.88 : 1,048.86 = 504.48 : x
  2. Step 2: Convert to fraction form
    698.88/1,048.86 = 504.48/x
  3. Step 3: Cross multiply
    698.88x = 1,048.86 × 504.48
  4. Step 4: Simplify right side
    698.88x = 529,128.89
  5. Step 5: Solve for x
    x = 529,128.89/698.88
  6. Step 6: Final answer
    x = 757.11

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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.