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Finding the Fourth Proportional to 417.86, 577.41 and 362.42

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Solution

The fourth proportional to 417.86, 577.41 and 362.42 is: 500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 577.41 = 362.42 : x
  2. Step 2: Convert to fraction form
    417.86/577.41 = 362.42/x
  3. Step 3: Cross multiply
    417.86x = 577.41 × 362.42
  4. Step 4: Simplify right side
    417.86x = 209,264.93
  5. Step 5: Solve for x
    x = 209,264.93/417.86
  6. Step 6: Final answer
    x = 500.80

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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.