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Finding the Fourth Proportional to 576.39, 795.77 and 389.91

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Solution

The fourth proportional to 576.39, 795.77 and 389.91 is: 538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.39 : 795.77 = 389.91 : x
  2. Step 2: Convert to fraction form
    576.39/795.77 = 389.91/x
  3. Step 3: Cross multiply
    576.39x = 795.77 × 389.91
  4. Step 4: Simplify right side
    576.39x = 310,281.64
  5. Step 5: Solve for x
    x = 310,281.64/576.39
  6. Step 6: Final answer
    x = 538.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.