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Finding the Fourth Proportional to 700.13, 966.20 and 405.43

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Solution

The fourth proportional to 700.13, 966.20 and 405.43 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.13 : 966.20 = 405.43 : x
  2. Step 2: Convert to fraction form
    700.13/966.20 = 405.43/x
  3. Step 3: Cross multiply
    700.13x = 966.20 × 405.43
  4. Step 4: Simplify right side
    700.13x = 391,722.02
  5. Step 5: Solve for x
    x = 391,722.02/700.13
  6. Step 6: Final answer
    x = 559.50

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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.