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Finding the Fourth Proportional to 1,134.78, 1,702.53 and 394.50

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Solution

The fourth proportional to 1,134.78, 1,702.53 and 394.50 is: 591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.78 : 1,702.53 = 394.50 : x
  2. Step 2: Convert to fraction form
    1,134.78/1,702.53 = 394.50/x
  3. Step 3: Cross multiply
    1,134.78x = 1,702.53 × 394.50
  4. Step 4: Simplify right side
    1,134.78x = 671,648.09
  5. Step 5: Solve for x
    x = 671,648.09/1,134.78
  6. Step 6: Final answer
    x = 591.88

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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.