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Finding the Fourth Proportional to 471.72, 702.88 and 445.30

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Solution

The fourth proportional to 471.72, 702.88 and 445.30 is: 663.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.72 : 702.88 = 445.30 : x
  2. Step 2: Convert to fraction form
    471.72/702.88 = 445.30/x
  3. Step 3: Cross multiply
    471.72x = 702.88 × 445.30
  4. Step 4: Simplify right side
    471.72x = 312,989.59
  5. Step 5: Solve for x
    x = 312,989.59/471.72
  6. Step 6: Final answer
    x = 663.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.