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Finding the Fourth Proportional to 541.74, 812.95 and 282.03

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Solution

The fourth proportional to 541.74, 812.95 and 282.03 is: 423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.74 : 812.95 = 282.03 : x
  2. Step 2: Convert to fraction form
    541.74/812.95 = 282.03/x
  3. Step 3: Cross multiply
    541.74x = 812.95 × 282.03
  4. Step 4: Simplify right side
    541.74x = 229,277.50
  5. Step 5: Solve for x
    x = 229,277.50/541.74
  6. Step 6: Final answer
    x = 423.23

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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.