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Finding the Fourth Proportional to 1,155.75, 1,733.91 and 334

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Solution

The fourth proportional to 1,155.75, 1,733.91 and 334 is: 501.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.75 : 1,733.91 = 334 : x
  2. Step 2: Convert to fraction form
    1,155.75/1,733.91 = 334/x
  3. Step 3: Cross multiply
    1,155.75x = 1,733.91 × 334
  4. Step 4: Simplify right side
    1,155.75x = 579,125.94
  5. Step 5: Solve for x
    x = 579,125.94/1,155.75
  6. Step 6: Final answer
    x = 501.08

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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.