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Finding the Fourth Proportional to 601.20, 830.04 and 454.50

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Solution

The fourth proportional to 601.20, 830.04 and 454.50 is: 627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.20 : 830.04 = 454.50 : x
  2. Step 2: Convert to fraction form
    601.20/830.04 = 454.50/x
  3. Step 3: Cross multiply
    601.20x = 830.04 × 454.50
  4. Step 4: Simplify right side
    601.20x = 377,253.18
  5. Step 5: Solve for x
    x = 377,253.18/601.20
  6. Step 6: Final answer
    x = 627.50

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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.