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Finding the Fourth Proportional to 547.64, 756.42 and 398.03

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Solution

The fourth proportional to 547.64, 756.42 and 398.03 is: 549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 756.42 = 398.03 : x
  2. Step 2: Convert to fraction form
    547.64/756.42 = 398.03/x
  3. Step 3: Cross multiply
    547.64x = 756.42 × 398.03
  4. Step 4: Simplify right side
    547.64x = 301,077.85
  5. Step 5: Solve for x
    x = 301,077.85/547.64
  6. Step 6: Final answer
    x = 549.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.