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Finding the Fourth Proportional to 700.71, 967.04 and 386.03

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Solution

The fourth proportional to 700.71, 967.04 and 386.03 is: 532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.71 : 967.04 = 386.03 : x
  2. Step 2: Convert to fraction form
    700.71/967.04 = 386.03/x
  3. Step 3: Cross multiply
    700.71x = 967.04 × 386.03
  4. Step 4: Simplify right side
    700.71x = 373,304.52
  5. Step 5: Solve for x
    x = 373,304.52/700.71
  6. Step 6: Final answer
    x = 532.76

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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.