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Finding the Fourth Proportional to 541.45, 746.51 and 415.55

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Solution

The fourth proportional to 541.45, 746.51 and 415.55 is: 572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.45 : 746.51 = 415.55 : x
  2. Step 2: Convert to fraction form
    541.45/746.51 = 415.55/x
  3. Step 3: Cross multiply
    541.45x = 746.51 × 415.55
  4. Step 4: Simplify right side
    541.45x = 310,212.02
  5. Step 5: Solve for x
    x = 310,212.02/541.45
  6. Step 6: Final answer
    x = 572.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.