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Finding the Fourth Proportional to 601.07, 828.89 and 414.26

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Solution

The fourth proportional to 601.07, 828.89 and 414.26 is: 571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.07 : 828.89 = 414.26 : x
  2. Step 2: Convert to fraction form
    601.07/828.89 = 414.26/x
  3. Step 3: Cross multiply
    601.07x = 828.89 × 414.26
  4. Step 4: Simplify right side
    601.07x = 343,369.76
  5. Step 5: Solve for x
    x = 343,369.76/601.07
  6. Step 6: Final answer
    x = 571.27

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.