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Finding the Fourth Proportional to 698.61, 1,045.99 and 424.02

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Solution

The fourth proportional to 698.61, 1,045.99 and 424.02 is: 634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.61 : 1,045.99 = 424.02 : x
  2. Step 2: Convert to fraction form
    698.61/1,045.99 = 424.02/x
  3. Step 3: Cross multiply
    698.61x = 1,045.99 × 424.02
  4. Step 4: Simplify right side
    698.61x = 443,520.68
  5. Step 5: Solve for x
    x = 443,520.68/698.61
  6. Step 6: Final answer
    x = 634.86

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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.