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Finding the Fourth Proportional to 406.58, 607.53 and 333.50

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Solution

The fourth proportional to 406.58, 607.53 and 333.50 is: 498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.58 : 607.53 = 333.50 : x
  2. Step 2: Convert to fraction form
    406.58/607.53 = 333.50/x
  3. Step 3: Cross multiply
    406.58x = 607.53 × 333.50
  4. Step 4: Simplify right side
    406.58x = 202,611.26
  5. Step 5: Solve for x
    x = 202,611.26/406.58
  6. Step 6: Final answer
    x = 498.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.