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Finding the Fourth Proportional to 601.45, 828.85 and 414.60

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Solution

The fourth proportional to 601.45, 828.85 and 414.60 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.45 : 828.85 = 414.60 : x
  2. Step 2: Convert to fraction form
    601.45/828.85 = 414.60/x
  3. Step 3: Cross multiply
    601.45x = 828.85 × 414.60
  4. Step 4: Simplify right side
    601.45x = 343,634.99
  5. Step 5: Solve for x
    x = 343,634.99/601.45
  6. Step 6: Final answer
    x = 571.35

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1.5x scale

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.