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Finding the Fourth Proportional to 538.56, 802.40 and 512.44

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Solution

The fourth proportional to 538.56, 802.40 and 512.44 is: 763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 802.40 = 512.44 : x
  2. Step 2: Convert to fraction form
    538.56/802.40 = 512.44/x
  3. Step 3: Cross multiply
    538.56x = 802.40 × 512.44
  4. Step 4: Simplify right side
    538.56x = 411,181.86
  5. Step 5: Solve for x
    x = 411,181.86/538.56
  6. Step 6: Final answer
    x = 763.48

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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.