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Finding the Fourth Proportional to 541.40, 812.48 and 397.48

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Solution

The fourth proportional to 541.40, 812.48 and 397.48 is: 596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 812.48 = 397.48 : x
  2. Step 2: Convert to fraction form
    541.40/812.48 = 397.48/x
  3. Step 3: Cross multiply
    541.40x = 812.48 × 397.48
  4. Step 4: Simplify right side
    541.40x = 322,944.55
  5. Step 5: Solve for x
    x = 322,944.55/541.40
  6. Step 6: Final answer
    x = 596.50

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1.5x scale

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.