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Finding the Fourth Proportional to 656.75, 979.31 and 612.06

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Solution

The fourth proportional to 656.75, 979.31 and 612.06 is: 912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.75 : 979.31 = 612.06 : x
  2. Step 2: Convert to fraction form
    656.75/979.31 = 612.06/x
  3. Step 3: Cross multiply
    656.75x = 979.31 × 612.06
  4. Step 4: Simplify right side
    656.75x = 599,395.71
  5. Step 5: Solve for x
    x = 599,395.71/656.75
  6. Step 6: Final answer
    x = 912.68

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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.