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Finding the Fourth Proportional to 714.62, 986.28 and 453.40

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Solution

The fourth proportional to 714.62, 986.28 and 453.40 is: 625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.62 : 986.28 = 453.40 : x
  2. Step 2: Convert to fraction form
    714.62/986.28 = 453.40/x
  3. Step 3: Cross multiply
    714.62x = 986.28 × 453.40
  4. Step 4: Simplify right side
    714.62x = 447,175.19
  5. Step 5: Solve for x
    x = 447,175.19/714.62
  6. Step 6: Final answer
    x = 625.75

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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.