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Finding the Fourth Proportional to 985.93, 1,359.33 and 649.78

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Solution

The fourth proportional to 985.93, 1,359.33 and 649.78 is: 895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.93 : 1,359.33 = 649.78 : x
  2. Step 2: Convert to fraction form
    985.93/1,359.33 = 649.78/x
  3. Step 3: Cross multiply
    985.93x = 1,359.33 × 649.78
  4. Step 4: Simplify right side
    985.93x = 883,262.05
  5. Step 5: Solve for x
    x = 883,262.05/985.93
  6. Step 6: Final answer
    x = 895.87

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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.