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Finding the Fourth Proportional to 1,132.39, 1,698.64 and 310.75

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Solution

The fourth proportional to 1,132.39, 1,698.64 and 310.75 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.39 : 1,698.64 = 310.75 : x
  2. Step 2: Convert to fraction form
    1,132.39/1,698.64 = 310.75/x
  3. Step 3: Cross multiply
    1,132.39x = 1,698.64 × 310.75
  4. Step 4: Simplify right side
    1,132.39x = 527,847.36
  5. Step 5: Solve for x
    x = 527,847.36/1,132.39
  6. Step 6: Final answer
    x = 466.14

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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.