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Finding the Fourth Proportional to 407.57, 561.50 and 333.46

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Solution

The fourth proportional to 407.57, 561.50 and 333.46 is: 459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.57 : 561.50 = 333.46 : x
  2. Step 2: Convert to fraction form
    407.57/561.50 = 333.46/x
  3. Step 3: Cross multiply
    407.57x = 561.50 × 333.46
  4. Step 4: Simplify right side
    407.57x = 187,235.27
  5. Step 5: Solve for x
    x = 187,235.27/407.57
  6. Step 6: Final answer
    x = 459.39

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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.