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Finding the Fourth Proportional to 707.68, 976.49 and 412.89

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Solution

The fourth proportional to 707.68, 976.49 and 412.89 is: 569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.68 : 976.49 = 412.89 : x
  2. Step 2: Convert to fraction form
    707.68/976.49 = 412.89/x
  3. Step 3: Cross multiply
    707.68x = 976.49 × 412.89
  4. Step 4: Simplify right side
    707.68x = 403,182.96
  5. Step 5: Solve for x
    x = 403,182.96/707.68
  6. Step 6: Final answer
    x = 569.72

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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.