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Finding the Fourth Proportional to 470.08, 702.96 and 382.60

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Solution

The fourth proportional to 470.08, 702.96 and 382.60 is: 572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 702.96 = 382.60 : x
  2. Step 2: Convert to fraction form
    470.08/702.96 = 382.60/x
  3. Step 3: Cross multiply
    470.08x = 702.96 × 382.60
  4. Step 4: Simplify right side
    470.08x = 268,952.50
  5. Step 5: Solve for x
    x = 268,952.50/470.08
  6. Step 6: Final answer
    x = 572.14

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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.