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Finding the Fourth Proportional to 573.45, 791.16 and 407.76

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Solution

The fourth proportional to 573.45, 791.16 and 407.76 is: 562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.45 : 791.16 = 407.76 : x
  2. Step 2: Convert to fraction form
    573.45/791.16 = 407.76/x
  3. Step 3: Cross multiply
    573.45x = 791.16 × 407.76
  4. Step 4: Simplify right side
    573.45x = 322,603.40
  5. Step 5: Solve for x
    x = 322,603.40/573.45
  6. Step 6: Final answer
    x = 562.57

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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.