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Finding the Fourth Proportional to 707.68, 976.39 and 427.78

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Solution

The fourth proportional to 707.68, 976.39 and 427.78 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.68 : 976.39 = 427.78 : x
  2. Step 2: Convert to fraction form
    707.68/976.39 = 427.78/x
  3. Step 3: Cross multiply
    707.68x = 976.39 × 427.78
  4. Step 4: Simplify right side
    707.68x = 417,680.11
  5. Step 5: Solve for x
    x = 417,680.11/707.68
  6. Step 6: Final answer
    x = 590.21

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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.