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Finding the Fourth Proportional to 573.66, 791.15 and 407.79

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Solution

The fourth proportional to 573.66, 791.15 and 407.79 is: 562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.66 : 791.15 = 407.79 : x
  2. Step 2: Convert to fraction form
    573.66/791.15 = 407.79/x
  3. Step 3: Cross multiply
    573.66x = 791.15 × 407.79
  4. Step 4: Simplify right side
    573.66x = 322,621.02
  5. Step 5: Solve for x
    x = 322,621.02/573.66
  6. Step 6: Final answer
    x = 562.39

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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.