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Finding the Fourth Proportional to 698.36, 1,047.54 and 313.61

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Solution

The fourth proportional to 698.36, 1,047.54 and 313.61 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.36 : 1,047.54 = 313.61 : x
  2. Step 2: Convert to fraction form
    698.36/1,047.54 = 313.61/x
  3. Step 3: Cross multiply
    698.36x = 1,047.54 × 313.61
  4. Step 4: Simplify right side
    698.36x = 328,519.02
  5. Step 5: Solve for x
    x = 328,519.02/698.36
  6. Step 6: Final answer
    x = 470.42

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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.