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Finding the Fourth Proportional to 700.05, 965.93 and 405.21

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Solution

The fourth proportional to 700.05, 965.93 and 405.21 is: 559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.05 : 965.93 = 405.21 : x
  2. Step 2: Convert to fraction form
    700.05/965.93 = 405.21/x
  3. Step 3: Cross multiply
    700.05x = 965.93 × 405.21
  4. Step 4: Simplify right side
    700.05x = 391,402.47
  5. Step 5: Solve for x
    x = 391,402.47/700.05
  6. Step 6: Final answer
    x = 559.11

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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.