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Finding the Fourth Proportional to 467.79, 702.50 and 323.61

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Solution

The fourth proportional to 467.79, 702.50 and 323.61 is: 485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.79 : 702.50 = 323.61 : x
  2. Step 2: Convert to fraction form
    467.79/702.50 = 323.61/x
  3. Step 3: Cross multiply
    467.79x = 702.50 × 323.61
  4. Step 4: Simplify right side
    467.79x = 227,334.41
  5. Step 5: Solve for x
    x = 227,334.41/467.79
  6. Step 6: Final answer
    x = 485.98

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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.