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Finding the Fourth Proportional to 700.98, 967.14 and 452.58

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Solution

The fourth proportional to 700.98, 967.14 and 452.58 is: 624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.98 : 967.14 = 452.58 : x
  2. Step 2: Convert to fraction form
    700.98/967.14 = 452.58/x
  3. Step 3: Cross multiply
    700.98x = 967.14 × 452.58
  4. Step 4: Simplify right side
    700.98x = 437,708.22
  5. Step 5: Solve for x
    x = 437,708.22/700.98
  6. Step 6: Final answer
    x = 624.42

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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.