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Finding the Fourth Proportional to 1,086.34, 1,497.66 and 687.80

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Solution

The fourth proportional to 1,086.34, 1,497.66 and 687.80 is: 948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.34 : 1,497.66 = 687.80 : x
  2. Step 2: Convert to fraction form
    1,086.34/1,497.66 = 687.80/x
  3. Step 3: Cross multiply
    1,086.34x = 1,497.66 × 687.80
  4. Step 4: Simplify right side
    1,086.34x = 1,030,090.55
  5. Step 5: Solve for x
    x = 1,030,090.55/1,086.34
  6. Step 6: Final answer
    x = 948.22

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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.