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Finding the Fourth Proportional to 707.26, 975.26 and 483.22

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Solution

The fourth proportional to 707.26, 975.26 and 483.22 is: 666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.26 : 975.26 = 483.22 : x
  2. Step 2: Convert to fraction form
    707.26/975.26 = 483.22/x
  3. Step 3: Cross multiply
    707.26x = 975.26 × 483.22
  4. Step 4: Simplify right side
    707.26x = 471,265.14
  5. Step 5: Solve for x
    x = 471,265.14/707.26
  6. Step 6: Final answer
    x = 666.33

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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.