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Finding the Fourth Proportional to 646.68, 893.06 and 425.88

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Solution

The fourth proportional to 646.68, 893.06 and 425.88 is: 588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.68 : 893.06 = 425.88 : x
  2. Step 2: Convert to fraction form
    646.68/893.06 = 425.88/x
  3. Step 3: Cross multiply
    646.68x = 893.06 × 425.88
  4. Step 4: Simplify right side
    646.68x = 380,336.39
  5. Step 5: Solve for x
    x = 380,336.39/646.68
  6. Step 6: Final answer
    x = 588.14

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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.