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Finding the Fourth Proportional to 1,156.91, 1,735.46 and 335.20

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Solution

The fourth proportional to 1,156.91, 1,735.46 and 335.20 is: 502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.91 : 1,735.46 = 335.20 : x
  2. Step 2: Convert to fraction form
    1,156.91/1,735.46 = 335.20/x
  3. Step 3: Cross multiply
    1,156.91x = 1,735.46 × 335.20
  4. Step 4: Simplify right side
    1,156.91x = 581,726.19
  5. Step 5: Solve for x
    x = 581,726.19/1,156.91
  6. Step 6: Final answer
    x = 502.83

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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.