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Finding the Fourth Proportional to 417.83, 575.37 and 362.48

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Solution

The fourth proportional to 417.83, 575.37 and 362.48 is: 499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.83 : 575.37 = 362.48 : x
  2. Step 2: Convert to fraction form
    417.83/575.37 = 362.48/x
  3. Step 3: Cross multiply
    417.83x = 575.37 × 362.48
  4. Step 4: Simplify right side
    417.83x = 208,557.24
  5. Step 5: Solve for x
    x = 208,557.24/417.83
  6. Step 6: Final answer
    x = 499.15

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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.