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Finding the Fourth Proportional to 708.14, 976.63 and 428.31

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Solution

The fourth proportional to 708.14, 976.63 and 428.31 is: 590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.14 : 976.63 = 428.31 : x
  2. Step 2: Convert to fraction form
    708.14/976.63 = 428.31/x
  3. Step 3: Cross multiply
    708.14x = 976.63 × 428.31
  4. Step 4: Simplify right side
    708.14x = 418,300.40
  5. Step 5: Solve for x
    x = 418,300.40/708.14
  6. Step 6: Final answer
    x = 590.70

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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.