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Finding the Fourth Proportional to 633.54, 870.75 and 559.41

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Solution

The fourth proportional to 633.54, 870.75 and 559.41 is: 768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.54 : 870.75 = 559.41 : x
  2. Step 2: Convert to fraction form
    633.54/870.75 = 559.41/x
  3. Step 3: Cross multiply
    633.54x = 870.75 × 559.41
  4. Step 4: Simplify right side
    633.54x = 487,106.26
  5. Step 5: Solve for x
    x = 487,106.26/633.54
  6. Step 6: Final answer
    x = 768.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.