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Finding the Fourth Proportional to 892.68, 1,340.10 and 649.68

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Solution

The fourth proportional to 892.68, 1,340.10 and 649.68 is: 975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,340.10 = 649.68 : x
  2. Step 2: Convert to fraction form
    892.68/1,340.10 = 649.68/x
  3. Step 3: Cross multiply
    892.68x = 1,340.10 × 649.68
  4. Step 4: Simplify right side
    892.68x = 870,636.17
  5. Step 5: Solve for x
    x = 870,636.17/892.68
  6. Step 6: Final answer
    x = 975.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.