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Finding the Fourth Proportional to 1,086.60, 1,497.78 and 899.40

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Solution

The fourth proportional to 1,086.60, 1,497.78 and 899.40 is: 1,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.60 : 1,497.78 = 899.40 : x
  2. Step 2: Convert to fraction form
    1,086.60/1,497.78 = 899.40/x
  3. Step 3: Cross multiply
    1,086.60x = 1,497.78 × 899.40
  4. Step 4: Simplify right side
    1,086.60x = 1,347,103.33
  5. Step 5: Solve for x
    x = 1,347,103.33/1,086.60
  6. Step 6: Final answer
    x = 1,239.74

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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.