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Finding the Fourth Proportional to 547.10, 754.16 and 389.26

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Solution

The fourth proportional to 547.10, 754.16 and 389.26 is: 536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.10 : 754.16 = 389.26 : x
  2. Step 2: Convert to fraction form
    547.10/754.16 = 389.26/x
  3. Step 3: Cross multiply
    547.10x = 754.16 × 389.26
  4. Step 4: Simplify right side
    547.10x = 293,564.32
  5. Step 5: Solve for x
    x = 293,564.32/547.10
  6. Step 6: Final answer
    x = 536.58

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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.