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Finding the Fourth Proportional to 577.35, 792.71 and 562.32

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Solution

The fourth proportional to 577.35, 792.71 and 562.32 is: 772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.35 : 792.71 = 562.32 : x
  2. Step 2: Convert to fraction form
    577.35/792.71 = 562.32/x
  3. Step 3: Cross multiply
    577.35x = 792.71 × 562.32
  4. Step 4: Simplify right side
    577.35x = 445,756.69
  5. Step 5: Solve for x
    x = 445,756.69/577.35
  6. Step 6: Final answer
    x = 772.07

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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.