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Finding the Fourth Proportional to 700.38, 966.48 and 401.66

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Solution

The fourth proportional to 700.38, 966.48 and 401.66 is: 554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.38 : 966.48 = 401.66 : x
  2. Step 2: Convert to fraction form
    700.38/966.48 = 401.66/x
  3. Step 3: Cross multiply
    700.38x = 966.48 × 401.66
  4. Step 4: Simplify right side
    700.38x = 388,196.36
  5. Step 5: Solve for x
    x = 388,196.36/700.38
  6. Step 6: Final answer
    x = 554.27

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1.5x scale

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.