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Finding the Fourth Proportional to 698.46, 963.99 and 583.26

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Solution

The fourth proportional to 698.46, 963.99 and 583.26 is: 804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 963.99 = 583.26 : x
  2. Step 2: Convert to fraction form
    698.46/963.99 = 583.26/x
  3. Step 3: Cross multiply
    698.46x = 963.99 × 583.26
  4. Step 4: Simplify right side
    698.46x = 562,256.81
  5. Step 5: Solve for x
    x = 562,256.81/698.46
  6. Step 6: Final answer
    x = 804.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.