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Finding the Fourth Proportional to 975.63, 1,345.86 and 660.92

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Solution

The fourth proportional to 975.63, 1,345.86 and 660.92 is: 911.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.63 : 1,345.86 = 660.92 : x
  2. Step 2: Convert to fraction form
    975.63/1,345.86 = 660.92/x
  3. Step 3: Cross multiply
    975.63x = 1,345.86 × 660.92
  4. Step 4: Simplify right side
    975.63x = 889,499.06
  5. Step 5: Solve for x
    x = 889,499.06/975.63
  6. Step 6: Final answer
    x = 911.72

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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.