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Finding the Fourth Proportional to 1,130.30, 1,695.43 and 308.65

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Solution

The fourth proportional to 1,130.30, 1,695.43 and 308.65 is: 462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.30 : 1,695.43 = 308.65 : x
  2. Step 2: Convert to fraction form
    1,130.30/1,695.43 = 308.65/x
  3. Step 3: Cross multiply
    1,130.30x = 1,695.43 × 308.65
  4. Step 4: Simplify right side
    1,130.30x = 523,290.62
  5. Step 5: Solve for x
    x = 523,290.62/1,130.30
  6. Step 6: Final answer
    x = 462.97

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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.