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Finding the Fourth Proportional to 1,156.84, 1,734.75 and 335.09

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Solution

The fourth proportional to 1,156.84, 1,734.75 and 335.09 is: 502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.84 : 1,734.75 = 335.09 : x
  2. Step 2: Convert to fraction form
    1,156.84/1,734.75 = 335.09/x
  3. Step 3: Cross multiply
    1,156.84x = 1,734.75 × 335.09
  4. Step 4: Simplify right side
    1,156.84x = 581,301.71
  5. Step 5: Solve for x
    x = 581,301.71/1,156.84
  6. Step 6: Final answer
    x = 502.49

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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.