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Finding the Fourth Proportional to 541.47, 746.76 and 417.45

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Solution

The fourth proportional to 541.47, 746.76 and 417.45 is: 575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.47 : 746.76 = 417.45 : x
  2. Step 2: Convert to fraction form
    541.47/746.76 = 417.45/x
  3. Step 3: Cross multiply
    541.47x = 746.76 × 417.45
  4. Step 4: Simplify right side
    541.47x = 311,734.96
  5. Step 5: Solve for x
    x = 311,734.96/541.47
  6. Step 6: Final answer
    x = 575.72

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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.