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Finding the Fourth Proportional to 628.68, 946.33 and 573.31

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Solution

The fourth proportional to 628.68, 946.33 and 573.31 is: 862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.68 : 946.33 = 573.31 : x
  2. Step 2: Convert to fraction form
    628.68/946.33 = 573.31/x
  3. Step 3: Cross multiply
    628.68x = 946.33 × 573.31
  4. Step 4: Simplify right side
    628.68x = 542,540.45
  5. Step 5: Solve for x
    x = 542,540.45/628.68
  6. Step 6: Final answer
    x = 862.98

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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.