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Finding the Fourth Proportional to 536.19, 798.31 and 529.71

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Solution

The fourth proportional to 536.19, 798.31 and 529.71 is: 788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.19 : 798.31 = 529.71 : x
  2. Step 2: Convert to fraction form
    536.19/798.31 = 529.71/x
  3. Step 3: Cross multiply
    536.19x = 798.31 × 529.71
  4. Step 4: Simplify right side
    536.19x = 422,871.47
  5. Step 5: Solve for x
    x = 422,871.47/536.19
  6. Step 6: Final answer
    x = 788.66

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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.