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Finding the Fourth Proportional to 576.40, 865.52 and 400.77

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Solution

The fourth proportional to 576.40, 865.52 and 400.77 is: 601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 865.52 = 400.77 : x
  2. Step 2: Convert to fraction form
    576.40/865.52 = 400.77/x
  3. Step 3: Cross multiply
    576.40x = 865.52 × 400.77
  4. Step 4: Simplify right side
    576.40x = 346,874.45
  5. Step 5: Solve for x
    x = 346,874.45/576.40
  6. Step 6: Final answer
    x = 601.79

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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.