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Finding the Fourth Proportional to 975.58, 1,346.68 and 660.69

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Solution

The fourth proportional to 975.58, 1,346.68 and 660.69 is: 912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.58 : 1,346.68 = 660.69 : x
  2. Step 2: Convert to fraction form
    975.58/1,346.68 = 660.69/x
  3. Step 3: Cross multiply
    975.58x = 1,346.68 × 660.69
  4. Step 4: Simplify right side
    975.58x = 889,738.01
  5. Step 5: Solve for x
    x = 889,738.01/975.58
  6. Step 6: Final answer
    x = 912.01

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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.