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Finding the Fourth Proportional to 700.73, 1,051.26 and 392.80

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Solution

The fourth proportional to 700.73, 1,051.26 and 392.80 is: 589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.73 : 1,051.26 = 392.80 : x
  2. Step 2: Convert to fraction form
    700.73/1,051.26 = 392.80/x
  3. Step 3: Cross multiply
    700.73x = 1,051.26 × 392.80
  4. Step 4: Simplify right side
    700.73x = 412,934.63
  5. Step 5: Solve for x
    x = 412,934.63/700.73
  6. Step 6: Final answer
    x = 589.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.