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Finding the Fourth Proportional to 700.48, 966.80 and 401.80

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Solution

The fourth proportional to 700.48, 966.80 and 401.80 is: 554.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.48 : 966.80 = 401.80 : x
  2. Step 2: Convert to fraction form
    700.48/966.80 = 401.80/x
  3. Step 3: Cross multiply
    700.48x = 966.80 × 401.80
  4. Step 4: Simplify right side
    700.48x = 388,460.24
  5. Step 5: Solve for x
    x = 388,460.24/700.48
  6. Step 6: Final answer
    x = 554.56

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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.