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Finding the Fourth Proportional to 576.69, 865.05 and 421.00

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Solution

The fourth proportional to 576.69, 865.05 and 421.00 is: 631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.69 : 865.05 = 421.00 : x
  2. Step 2: Convert to fraction form
    576.69/865.05 = 421.00/x
  3. Step 3: Cross multiply
    576.69x = 865.05 × 421.00
  4. Step 4: Simplify right side
    576.69x = 364,182.31
  5. Step 5: Solve for x
    x = 364,182.31/576.69
  6. Step 6: Final answer
    x = 631.51

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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.