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Finding the Fourth Proportional to 452.99, 680.00 and 407.03

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Solution

The fourth proportional to 452.99, 680.00 and 407.03 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.99 : 680.00 = 407.03 : x
  2. Step 2: Convert to fraction form
    452.99/680.00 = 407.03/x
  3. Step 3: Cross multiply
    452.99x = 680.00 × 407.03
  4. Step 4: Simplify right side
    452.99x = 276,774.96
  5. Step 5: Solve for x
    x = 276,774.96/452.99
  6. Step 6: Final answer
    x = 610.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.