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Finding the Fourth Proportional to 430.94, 591.46 and 398.06

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Solution

The fourth proportional to 430.94, 591.46 and 398.06 is: 546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.94 : 591.46 = 398.06 : x
  2. Step 2: Convert to fraction form
    430.94/591.46 = 398.06/x
  3. Step 3: Cross multiply
    430.94x = 591.46 × 398.06
  4. Step 4: Simplify right side
    430.94x = 235,436.57
  5. Step 5: Solve for x
    x = 235,436.57/430.94
  6. Step 6: Final answer
    x = 546.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.