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Finding the Fourth Proportional to 576.39, 790.71 and 562.08

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Solution

The fourth proportional to 576.39, 790.71 and 562.08 is: 771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.39 : 790.71 = 562.08 : x
  2. Step 2: Convert to fraction form
    576.39/790.71 = 562.08/x
  3. Step 3: Cross multiply
    576.39x = 790.71 × 562.08
  4. Step 4: Simplify right side
    576.39x = 444,442.28
  5. Step 5: Solve for x
    x = 444,442.28/576.39
  6. Step 6: Final answer
    x = 771.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.