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Finding the Fourth Proportional to 700.42, 966.36 and 405.64

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Solution

The fourth proportional to 700.42, 966.36 and 405.64 is: 559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.42 : 966.36 = 405.64 : x
  2. Step 2: Convert to fraction form
    700.42/966.36 = 405.64/x
  3. Step 3: Cross multiply
    700.42x = 966.36 × 405.64
  4. Step 4: Simplify right side
    700.42x = 391,994.27
  5. Step 5: Solve for x
    x = 391,994.27/700.42
  6. Step 6: Final answer
    x = 559.66

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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.