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Finding the Fourth Proportional to 459.79, 634.35 and 282.70

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Solution

The fourth proportional to 459.79, 634.35 and 282.70 is: 390.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.79 : 634.35 = 282.70 : x
  2. Step 2: Convert to fraction form
    459.79/634.35 = 282.70/x
  3. Step 3: Cross multiply
    459.79x = 634.35 × 282.70
  4. Step 4: Simplify right side
    459.79x = 179,330.75
  5. Step 5: Solve for x
    x = 179,330.75/459.79
  6. Step 6: Final answer
    x = 390.03

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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.