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Finding the Fourth Proportional to 577.43, 794.76 and 522.05

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Solution

The fourth proportional to 577.43, 794.76 and 522.05 is: 718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.43 : 794.76 = 522.05 : x
  2. Step 2: Convert to fraction form
    577.43/794.76 = 522.05/x
  3. Step 3: Cross multiply
    577.43x = 794.76 × 522.05
  4. Step 4: Simplify right side
    577.43x = 414,901.46
  5. Step 5: Solve for x
    x = 414,901.46/577.43
  6. Step 6: Final answer
    x = 718.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.