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Finding the Fourth Proportional to 700.13, 966.26 and 438.23

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Solution

The fourth proportional to 700.13, 966.26 and 438.23 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.13 : 966.26 = 438.23 : x
  2. Step 2: Convert to fraction form
    700.13/966.26 = 438.23/x
  3. Step 3: Cross multiply
    700.13x = 966.26 × 438.23
  4. Step 4: Simplify right side
    700.13x = 423,441.93
  5. Step 5: Solve for x
    x = 423,441.93/700.13
  6. Step 6: Final answer
    x = 604.80

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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.