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Finding the Fourth Proportional to 698.01, 1,045.39 and 423.82

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Solution

The fourth proportional to 698.01, 1,045.39 and 423.82 is: 634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.01 : 1,045.39 = 423.82 : x
  2. Step 2: Convert to fraction form
    698.01/1,045.39 = 423.82/x
  3. Step 3: Cross multiply
    698.01x = 1,045.39 × 423.82
  4. Step 4: Simplify right side
    698.01x = 443,057.19
  5. Step 5: Solve for x
    x = 443,057.19/698.01
  6. Step 6: Final answer
    x = 634.74

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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.