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Finding the Fourth Proportional to 707.78, 976.44 and 428.02

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Solution

The fourth proportional to 707.78, 976.44 and 428.02 is: 590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.78 : 976.44 = 428.02 : x
  2. Step 2: Convert to fraction form
    707.78/976.44 = 428.02/x
  3. Step 3: Cross multiply
    707.78x = 976.44 × 428.02
  4. Step 4: Simplify right side
    707.78x = 417,935.85
  5. Step 5: Solve for x
    x = 417,935.85/707.78
  6. Step 6: Final answer
    x = 590.49

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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.