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Finding the Fourth Proportional to 478.39, 714.89 and 452.06

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Solution

The fourth proportional to 478.39, 714.89 and 452.06 is: 675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.39 : 714.89 = 452.06 : x
  2. Step 2: Convert to fraction form
    478.39/714.89 = 452.06/x
  3. Step 3: Cross multiply
    478.39x = 714.89 × 452.06
  4. Step 4: Simplify right side
    478.39x = 323,173.17
  5. Step 5: Solve for x
    x = 323,173.17/478.39
  6. Step 6: Final answer
    x = 675.54

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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.