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Finding the Fourth Proportional to 700.50, 966.78 and 390.06

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Solution

The fourth proportional to 700.50, 966.78 and 390.06 is: 538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.50 : 966.78 = 390.06 : x
  2. Step 2: Convert to fraction form
    700.50/966.78 = 390.06/x
  3. Step 3: Cross multiply
    700.50x = 966.78 × 390.06
  4. Step 4: Simplify right side
    700.50x = 377,102.21
  5. Step 5: Solve for x
    x = 377,102.21/700.50
  6. Step 6: Final answer
    x = 538.33

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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.