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Finding the Fourth Proportional to 628.62, 946.23 and 573.25

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Solution

The fourth proportional to 628.62, 946.23 and 573.25 is: 862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.62 : 946.23 = 573.25 : x
  2. Step 2: Convert to fraction form
    628.62/946.23 = 573.25/x
  3. Step 3: Cross multiply
    628.62x = 946.23 × 573.25
  4. Step 4: Simplify right side
    628.62x = 542,423.98
  5. Step 5: Solve for x
    x = 542,423.98/628.62
  6. Step 6: Final answer
    x = 862.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.