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Finding the Fourth Proportional to 469.31, 702.92 and 304.25

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Solution

The fourth proportional to 469.31, 702.92 and 304.25 is: 455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.31 : 702.92 = 304.25 : x
  2. Step 2: Convert to fraction form
    469.31/702.92 = 304.25/x
  3. Step 3: Cross multiply
    469.31x = 702.92 × 304.25
  4. Step 4: Simplify right side
    469.31x = 213,863.41
  5. Step 5: Solve for x
    x = 213,863.41/469.31
  6. Step 6: Final answer
    x = 455.70

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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.