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Finding the Fourth Proportional to 541.56, 810.90 and 397.56

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Solution

The fourth proportional to 541.56, 810.90 and 397.56 is: 595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.56 : 810.90 = 397.56 : x
  2. Step 2: Convert to fraction form
    541.56/810.90 = 397.56/x
  3. Step 3: Cross multiply
    541.56x = 810.90 × 397.56
  4. Step 4: Simplify right side
    541.56x = 322,381.40
  5. Step 5: Solve for x
    x = 322,381.40/541.56
  6. Step 6: Final answer
    x = 595.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.