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Finding the Fourth Proportional to 702.56, 969.54 and 387.83

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Solution

The fourth proportional to 702.56, 969.54 and 387.83 is: 535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.56 : 969.54 = 387.83 : x
  2. Step 2: Convert to fraction form
    702.56/969.54 = 387.83/x
  3. Step 3: Cross multiply
    702.56x = 969.54 × 387.83
  4. Step 4: Simplify right side
    702.56x = 376,011.85
  5. Step 5: Solve for x
    x = 376,011.85/702.56
  6. Step 6: Final answer
    x = 535.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.