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Finding the Fourth Proportional to 698.90, 1,048.34 and 313.70

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Solution

The fourth proportional to 698.90, 1,048.34 and 313.70 is: 470.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.90 : 1,048.34 = 313.70 : x
  2. Step 2: Convert to fraction form
    698.90/1,048.34 = 313.70/x
  3. Step 3: Cross multiply
    698.90x = 1,048.34 × 313.70
  4. Step 4: Simplify right side
    698.90x = 328,859.80
  5. Step 5: Solve for x
    x = 328,859.80/698.90
  6. Step 6: Final answer
    x = 470.54

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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.