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Finding the Fourth Proportional to 546.99, 754.34 and 407.45

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Solution

The fourth proportional to 546.99, 754.34 and 407.45 is: 561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.99 : 754.34 = 407.45 : x
  2. Step 2: Convert to fraction form
    546.99/754.34 = 407.45/x
  3. Step 3: Cross multiply
    546.99x = 754.34 × 407.45
  4. Step 4: Simplify right side
    546.99x = 307,355.68
  5. Step 5: Solve for x
    x = 307,355.68/546.99
  6. Step 6: Final answer
    x = 561.90

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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.