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Finding the Fourth Proportional to 538.64, 805.52 and 471.28

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Solution

The fourth proportional to 538.64, 805.52 and 471.28 is: 704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.64 : 805.52 = 471.28 : x
  2. Step 2: Convert to fraction form
    538.64/805.52 = 471.28/x
  3. Step 3: Cross multiply
    538.64x = 805.52 × 471.28
  4. Step 4: Simplify right side
    538.64x = 379,625.47
  5. Step 5: Solve for x
    x = 379,625.47/538.64
  6. Step 6: Final answer
    x = 704.79

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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.