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Finding the Fourth Proportional to 700.83, 967.02 and 402.09

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Solution

The fourth proportional to 700.83, 967.02 and 402.09 is: 554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.83 : 967.02 = 402.09 : x
  2. Step 2: Convert to fraction form
    700.83/967.02 = 402.09/x
  3. Step 3: Cross multiply
    700.83x = 967.02 × 402.09
  4. Step 4: Simplify right side
    700.83x = 388,829.07
  5. Step 5: Solve for x
    x = 388,829.07/700.83
  6. Step 6: Final answer
    x = 554.81

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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.