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Finding the Fourth Proportional to 708.21, 975.38 and 609.93

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Solution

The fourth proportional to 708.21, 975.38 and 609.93 is: 840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.21 : 975.38 = 609.93 : x
  2. Step 2: Convert to fraction form
    708.21/975.38 = 609.93/x
  3. Step 3: Cross multiply
    708.21x = 975.38 × 609.93
  4. Step 4: Simplify right side
    708.21x = 594,910.47
  5. Step 5: Solve for x
    x = 594,910.47/708.21
  6. Step 6: Final answer
    x = 840.02

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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.