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Finding the Fourth Proportional to 601.32, 830.36 and 427.80

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Solution

The fourth proportional to 601.32, 830.36 and 427.80 is: 590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.32 : 830.36 = 427.80 : x
  2. Step 2: Convert to fraction form
    601.32/830.36 = 427.80/x
  3. Step 3: Cross multiply
    601.32x = 830.36 × 427.80
  4. Step 4: Simplify right side
    601.32x = 355,228.01
  5. Step 5: Solve for x
    x = 355,228.01/601.32
  6. Step 6: Final answer
    x = 590.75

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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.