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Finding the Fourth Proportional to 707.69, 977.19 and 459.42

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Solution

The fourth proportional to 707.69, 977.19 and 459.42 is: 634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.69 : 977.19 = 459.42 : x
  2. Step 2: Convert to fraction form
    707.69/977.19 = 459.42/x
  3. Step 3: Cross multiply
    707.69x = 977.19 × 459.42
  4. Step 4: Simplify right side
    707.69x = 448,942.03
  5. Step 5: Solve for x
    x = 448,942.03/707.69
  6. Step 6: Final answer
    x = 634.38

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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.