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Finding the Fourth Proportional to 578.12, 798.46 and 421.45

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Solution

The fourth proportional to 578.12, 798.46 and 421.45 is: 582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.12 : 798.46 = 421.45 : x
  2. Step 2: Convert to fraction form
    578.12/798.46 = 421.45/x
  3. Step 3: Cross multiply
    578.12x = 798.46 × 421.45
  4. Step 4: Simplify right side
    578.12x = 336,510.97
  5. Step 5: Solve for x
    x = 336,510.97/578.12
  6. Step 6: Final answer
    x = 582.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.