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Finding the Fourth Proportional to 707.21, 976.07 and 412.64

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Solution

The fourth proportional to 707.21, 976.07 and 412.64 is: 569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.21 : 976.07 = 412.64 : x
  2. Step 2: Convert to fraction form
    707.21/976.07 = 412.64/x
  3. Step 3: Cross multiply
    707.21x = 976.07 × 412.64
  4. Step 4: Simplify right side
    707.21x = 402,765.34
  5. Step 5: Solve for x
    x = 402,765.34/707.21
  6. Step 6: Final answer
    x = 569.51

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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.