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Finding the Fourth Proportional to 435.06, 646.99 and 421.39

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Solution

The fourth proportional to 435.06, 646.99 and 421.39 is: 626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.06 : 646.99 = 421.39 : x
  2. Step 2: Convert to fraction form
    435.06/646.99 = 421.39/x
  3. Step 3: Cross multiply
    435.06x = 646.99 × 421.39
  4. Step 4: Simplify right side
    435.06x = 272,635.12
  5. Step 5: Solve for x
    x = 272,635.12/435.06
  6. Step 6: Final answer
    x = 626.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.