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Finding the Fourth Proportional to 707.56, 976.17 and 412.72

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Solution

The fourth proportional to 707.56, 976.17 and 412.72 is: 569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.56 : 976.17 = 412.72 : x
  2. Step 2: Convert to fraction form
    707.56/976.17 = 412.72/x
  3. Step 3: Cross multiply
    707.56x = 976.17 × 412.72
  4. Step 4: Simplify right side
    707.56x = 402,884.88
  5. Step 5: Solve for x
    x = 402,884.88/707.56
  6. Step 6: Final answer
    x = 569.40

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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.