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Finding the Fourth Proportional to 891.81, 1,342.17 and 649.62

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Solution

The fourth proportional to 891.81, 1,342.17 and 649.62 is: 977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.81 : 1,342.17 = 649.62 : x
  2. Step 2: Convert to fraction form
    891.81/1,342.17 = 649.62/x
  3. Step 3: Cross multiply
    891.81x = 1,342.17 × 649.62
  4. Step 4: Simplify right side
    891.81x = 871,900.48
  5. Step 5: Solve for x
    x = 871,900.48/891.81
  6. Step 6: Final answer
    x = 977.68

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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.