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Finding the Fourth Proportional to 698.63, 1,048.77 and 464.56

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Solution

The fourth proportional to 698.63, 1,048.77 and 464.56 is: 697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.63 : 1,048.77 = 464.56 : x
  2. Step 2: Convert to fraction form
    698.63/1,048.77 = 464.56/x
  3. Step 3: Cross multiply
    698.63x = 1,048.77 × 464.56
  4. Step 4: Simplify right side
    698.63x = 487,213.97
  5. Step 5: Solve for x
    x = 487,213.97/698.63
  6. Step 6: Final answer
    x = 697.39

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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.