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Finding the Fourth Proportional to 576.51, 865.06 and 574.68

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Solution

The fourth proportional to 576.51, 865.06 and 574.68 is: 862.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.51 : 865.06 = 574.68 : x
  2. Step 2: Convert to fraction form
    576.51/865.06 = 574.68/x
  3. Step 3: Cross multiply
    576.51x = 865.06 × 574.68
  4. Step 4: Simplify right side
    576.51x = 497,132.68
  5. Step 5: Solve for x
    x = 497,132.68/576.51
  6. Step 6: Final answer
    x = 862.31

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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.