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Finding the Fourth Proportional to 714.69, 986.27 and 452.92

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Solution

The fourth proportional to 714.69, 986.27 and 452.92 is: 625.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 986.27 = 452.92 : x
  2. Step 2: Convert to fraction form
    714.69/986.27 = 452.92/x
  3. Step 3: Cross multiply
    714.69x = 986.27 × 452.92
  4. Step 4: Simplify right side
    714.69x = 446,699.14
  5. Step 5: Solve for x
    x = 446,699.14/714.69
  6. Step 6: Final answer
    x = 625.03

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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.