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Finding the Fourth Proportional to 714.66, 986.38 and 452.82

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Solution

The fourth proportional to 714.66, 986.38 and 452.82 is: 624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.66 : 986.38 = 452.82 : x
  2. Step 2: Convert to fraction form
    714.66/986.38 = 452.82/x
  3. Step 3: Cross multiply
    714.66x = 986.38 × 452.82
  4. Step 4: Simplify right side
    714.66x = 446,655.16
  5. Step 5: Solve for x
    x = 446,655.16/714.66
  6. Step 6: Final answer
    x = 624.99

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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.