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Finding the Fourth Proportional to 547.16, 755.06 and 414.16

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Solution

The fourth proportional to 547.16, 755.06 and 414.16 is: 571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.16 : 755.06 = 414.16 : x
  2. Step 2: Convert to fraction form
    547.16/755.06 = 414.16/x
  3. Step 3: Cross multiply
    547.16x = 755.06 × 414.16
  4. Step 4: Simplify right side
    547.16x = 312,715.65
  5. Step 5: Solve for x
    x = 312,715.65/547.16
  6. Step 6: Final answer
    x = 571.53

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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.