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Finding the Fourth Proportional to 547.23, 754.86 and 407.19

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Solution

The fourth proportional to 547.23, 754.86 and 407.19 is: 561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.23 : 754.86 = 407.19 : x
  2. Step 2: Convert to fraction form
    547.23/754.86 = 407.19/x
  3. Step 3: Cross multiply
    547.23x = 754.86 × 407.19
  4. Step 4: Simplify right side
    547.23x = 307,371.44
  5. Step 5: Solve for x
    x = 307,371.44/547.23
  6. Step 6: Final answer
    x = 561.69

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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.