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Finding the Fourth Proportional to 573.40, 791.22 and 474.76

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Solution

The fourth proportional to 573.40, 791.22 and 474.76 is: 655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.40 : 791.22 = 474.76 : x
  2. Step 2: Convert to fraction form
    573.40/791.22 = 474.76/x
  3. Step 3: Cross multiply
    573.40x = 791.22 × 474.76
  4. Step 4: Simplify right side
    573.40x = 375,639.61
  5. Step 5: Solve for x
    x = 375,639.61/573.40
  6. Step 6: Final answer
    x = 655.11

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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.