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Finding the Fourth Proportional to 538.07, 801.59 and 518.47

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Solution

The fourth proportional to 538.07, 801.59 and 518.47 is: 772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.07 : 801.59 = 518.47 : x
  2. Step 2: Convert to fraction form
    538.07/801.59 = 518.47/x
  3. Step 3: Cross multiply
    538.07x = 801.59 × 518.47
  4. Step 4: Simplify right side
    538.07x = 415,595.77
  5. Step 5: Solve for x
    x = 415,595.77/538.07
  6. Step 6: Final answer
    x = 772.39

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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.