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Finding the Fourth Proportional to 714.42, 985.37 and 452.52

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Solution

The fourth proportional to 714.42, 985.37 and 452.52 is: 624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 985.37 = 452.52 : x
  2. Step 2: Convert to fraction form
    714.42/985.37 = 452.52/x
  3. Step 3: Cross multiply
    714.42x = 985.37 × 452.52
  4. Step 4: Simplify right side
    714.42x = 445,897.37
  5. Step 5: Solve for x
    x = 445,897.37/714.42
  6. Step 6: Final answer
    x = 624.14

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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.