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Finding the Fourth Proportional to 628.87, 946.61 and 573.50

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Solution

The fourth proportional to 628.87, 946.61 and 573.50 is: 863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.87 : 946.61 = 573.50 : x
  2. Step 2: Convert to fraction form
    628.87/946.61 = 573.50/x
  3. Step 3: Cross multiply
    628.87x = 946.61 × 573.50
  4. Step 4: Simplify right side
    628.87x = 542,880.84
  5. Step 5: Solve for x
    x = 542,880.84/628.87
  6. Step 6: Final answer
    x = 863.26

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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.