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Finding the Fourth Proportional to 459.18, 634.02 and 360.75

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Solution

The fourth proportional to 459.18, 634.02 and 360.75 is: 498.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.18 : 634.02 = 360.75 : x
  2. Step 2: Convert to fraction form
    459.18/634.02 = 360.75/x
  3. Step 3: Cross multiply
    459.18x = 634.02 × 360.75
  4. Step 4: Simplify right side
    459.18x = 228,722.72
  5. Step 5: Solve for x
    x = 228,722.72/459.18
  6. Step 6: Final answer
    x = 498.11

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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.