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Finding the Fourth Proportional to 698.37, 1,047.55 and 332.05

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Solution

The fourth proportional to 698.37, 1,047.55 and 332.05 is: 498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.37 : 1,047.55 = 332.05 : x
  2. Step 2: Convert to fraction form
    698.37/1,047.55 = 332.05/x
  3. Step 3: Cross multiply
    698.37x = 1,047.55 × 332.05
  4. Step 4: Simplify right side
    698.37x = 347,833.74
  5. Step 5: Solve for x
    x = 347,833.74/698.37
  6. Step 6: Final answer
    x = 498.07

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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.