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Finding the Fourth Proportional to 601.05, 830.34 and 476.31

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Solution

The fourth proportional to 601.05, 830.34 and 476.31 is: 658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.05 : 830.34 = 476.31 : x
  2. Step 2: Convert to fraction form
    601.05/830.34 = 476.31/x
  3. Step 3: Cross multiply
    601.05x = 830.34 × 476.31
  4. Step 4: Simplify right side
    601.05x = 395,499.25
  5. Step 5: Solve for x
    x = 395,499.25/601.05
  6. Step 6: Final answer
    x = 658.01

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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.