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Finding the Fourth Proportional to 698.98, 1,046.04 and 582.34

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Solution

The fourth proportional to 698.98, 1,046.04 and 582.34 is: 871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.98 : 1,046.04 = 582.34 : x
  2. Step 2: Convert to fraction form
    698.98/1,046.04 = 582.34/x
  3. Step 3: Cross multiply
    698.98x = 1,046.04 × 582.34
  4. Step 4: Simplify right side
    698.98x = 609,150.93
  5. Step 5: Solve for x
    x = 609,150.93/698.98
  6. Step 6: Final answer
    x = 871.49

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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.