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Finding the Fourth Proportional to 508.96, 702.28 and 378.28

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Solution

The fourth proportional to 508.96, 702.28 and 378.28 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.96 : 702.28 = 378.28 : x
  2. Step 2: Convert to fraction form
    508.96/702.28 = 378.28/x
  3. Step 3: Cross multiply
    508.96x = 702.28 × 378.28
  4. Step 4: Simplify right side
    508.96x = 265,658.48
  5. Step 5: Solve for x
    x = 265,658.48/508.96
  6. Step 6: Final answer
    x = 521.96

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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.