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Finding the Fourth Proportional to 601.52, 830.34 and 454.19

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Solution

The fourth proportional to 601.52, 830.34 and 454.19 is: 626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.52 : 830.34 = 454.19 : x
  2. Step 2: Convert to fraction form
    601.52/830.34 = 454.19/x
  3. Step 3: Cross multiply
    601.52x = 830.34 × 454.19
  4. Step 4: Simplify right side
    601.52x = 377,132.12
  5. Step 5: Solve for x
    x = 377,132.12/601.52
  6. Step 6: Final answer
    x = 626.97

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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.