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Finding the Fourth Proportional to 634.02, 876.88 and 568.50

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Solution

The fourth proportional to 634.02, 876.88 and 568.50 is: 786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.02 : 876.88 = 568.50 : x
  2. Step 2: Convert to fraction form
    634.02/876.88 = 568.50/x
  3. Step 3: Cross multiply
    634.02x = 876.88 × 568.50
  4. Step 4: Simplify right side
    634.02x = 498,506.28
  5. Step 5: Solve for x
    x = 498,506.28/634.02
  6. Step 6: Final answer
    x = 786.26

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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.