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Finding the Fourth Proportional to 417.53, 574.93 and 362.27

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Solution

The fourth proportional to 417.53, 574.93 and 362.27 is: 498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.53 : 574.93 = 362.27 : x
  2. Step 2: Convert to fraction form
    417.53/574.93 = 362.27/x
  3. Step 3: Cross multiply
    417.53x = 574.93 × 362.27
  4. Step 4: Simplify right side
    417.53x = 208,279.89
  5. Step 5: Solve for x
    x = 208,279.89/417.53
  6. Step 6: Final answer
    x = 498.84

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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.