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Finding the Fourth Proportional to 707.48, 976.18 and 412.68

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Solution

The fourth proportional to 707.48, 976.18 and 412.68 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.48 : 976.18 = 412.68 : x
  2. Step 2: Convert to fraction form
    707.48/976.18 = 412.68/x
  3. Step 3: Cross multiply
    707.48x = 976.18 × 412.68
  4. Step 4: Simplify right side
    707.48x = 402,849.96
  5. Step 5: Solve for x
    x = 402,849.96/707.48
  6. Step 6: Final answer
    x = 569.42

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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.