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Finding the Fourth Proportional to 708.64, 974.88 and 602.88

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Solution

The fourth proportional to 708.64, 974.88 and 602.88 is: 829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.64 : 974.88 = 602.88 : x
  2. Step 2: Convert to fraction form
    708.64/974.88 = 602.88/x
  3. Step 3: Cross multiply
    708.64x = 974.88 × 602.88
  4. Step 4: Simplify right side
    708.64x = 587,735.65
  5. Step 5: Solve for x
    x = 587,735.65/708.64
  6. Step 6: Final answer
    x = 829.39

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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.