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Finding the Fourth Proportional to 459.68, 634.64 and 291.84

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Solution

The fourth proportional to 459.68, 634.64 and 291.84 is: 402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.68 : 634.64 = 291.84 : x
  2. Step 2: Convert to fraction form
    459.68/634.64 = 291.84/x
  3. Step 3: Cross multiply
    459.68x = 634.64 × 291.84
  4. Step 4: Simplify right side
    459.68x = 185,213.34
  5. Step 5: Solve for x
    x = 185,213.34/459.68
  6. Step 6: Final answer
    x = 402.92

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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.