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Finding the Fourth Proportional to 656.88, 978.89 and 634.85

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Solution

The fourth proportional to 656.88, 978.89 and 634.85 is: 946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.88 : 978.89 = 634.85 : x
  2. Step 2: Convert to fraction form
    656.88/978.89 = 634.85/x
  3. Step 3: Cross multiply
    656.88x = 978.89 × 634.85
  4. Step 4: Simplify right side
    656.88x = 621,440.25
  5. Step 5: Solve for x
    x = 621,440.25/656.88
  6. Step 6: Final answer
    x = 946.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.