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Finding the Fourth Proportional to 707.63, 976.29 and 412.79

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Solution

The fourth proportional to 707.63, 976.29 and 412.79 is: 569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.63 : 976.29 = 412.79 : x
  2. Step 2: Convert to fraction form
    707.63/976.29 = 412.79/x
  3. Step 3: Cross multiply
    707.63x = 976.29 × 412.79
  4. Step 4: Simplify right side
    707.63x = 402,997.87
  5. Step 5: Solve for x
    x = 402,997.87/707.63
  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.