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Finding the Fourth Proportional to 634.64, 875.84 and 386

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Solution

The fourth proportional to 634.64, 875.84 and 386 is: 532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.64 : 875.84 = 386 : x
  2. Step 2: Convert to fraction form
    634.64/875.84 = 386/x
  3. Step 3: Cross multiply
    634.64x = 875.84 × 386
  4. Step 4: Simplify right side
    634.64x = 338,074.24
  5. Step 5: Solve for x
    x = 338,074.24/634.64
  6. Step 6: Final answer
    x = 532.70

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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.