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Finding the Fourth Proportional to 471.36, 702.18 and 457.03

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Solution

The fourth proportional to 471.36, 702.18 and 457.03 is: 680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.36 : 702.18 = 457.03 : x
  2. Step 2: Convert to fraction form
    471.36/702.18 = 457.03/x
  3. Step 3: Cross multiply
    471.36x = 702.18 × 457.03
  4. Step 4: Simplify right side
    471.36x = 320,917.33
  5. Step 5: Solve for x
    x = 320,917.33/471.36
  6. Step 6: Final answer
    x = 680.83

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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.