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Finding the Fourth Proportional to 576.55, 865.42 and 511.09

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Solution

The fourth proportional to 576.55, 865.42 and 511.09 is: 767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.55 : 865.42 = 511.09 : x
  2. Step 2: Convert to fraction form
    576.55/865.42 = 511.09/x
  3. Step 3: Cross multiply
    576.55x = 865.42 × 511.09
  4. Step 4: Simplify right side
    576.55x = 442,307.51
  5. Step 5: Solve for x
    x = 442,307.51/576.55
  6. Step 6: Final answer
    x = 767.16

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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.