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Finding the Fourth Proportional to 541.55, 812.14 and 322.25

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Solution

The fourth proportional to 541.55, 812.14 and 322.25 is: 483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.55 : 812.14 = 322.25 : x
  2. Step 2: Convert to fraction form
    541.55/812.14 = 322.25/x
  3. Step 3: Cross multiply
    541.55x = 812.14 × 322.25
  4. Step 4: Simplify right side
    541.55x = 261,707.25
  5. Step 5: Solve for x
    x = 261,707.25/541.55
  6. Step 6: Final answer
    x = 483.25

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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.