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Finding the Fourth Proportional to 541.30, 812.55 and 297.70

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Solution

The fourth proportional to 541.30, 812.55 and 297.70 is: 446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.30 : 812.55 = 297.70 : x
  2. Step 2: Convert to fraction form
    541.30/812.55 = 297.70/x
  3. Step 3: Cross multiply
    541.30x = 812.55 × 297.70
  4. Step 4: Simplify right side
    541.30x = 241,896.14
  5. Step 5: Solve for x
    x = 241,896.14/541.30
  6. Step 6: Final answer
    x = 446.88

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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.