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Finding the Fourth Proportional to 557.13, 830.76 and 519.44

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Solution

The fourth proportional to 557.13, 830.76 and 519.44 is: 774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.13 : 830.76 = 519.44 : x
  2. Step 2: Convert to fraction form
    557.13/830.76 = 519.44/x
  3. Step 3: Cross multiply
    557.13x = 830.76 × 519.44
  4. Step 4: Simplify right side
    557.13x = 431,525.82
  5. Step 5: Solve for x
    x = 431,525.82/557.13
  6. Step 6: Final answer
    x = 774.55

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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.