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Finding the Fourth Proportional to 577.12, 861.21 and 525.38

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Solution

The fourth proportional to 577.12, 861.21 and 525.38 is: 784.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 861.21 = 525.38 : x
  2. Step 2: Convert to fraction form
    577.12/861.21 = 525.38/x
  3. Step 3: Cross multiply
    577.12x = 861.21 × 525.38
  4. Step 4: Simplify right side
    577.12x = 452,455.58
  5. Step 5: Solve for x
    x = 452,455.58/577.12
  6. Step 6: Final answer
    x = 784.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.