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Finding the Fourth Proportional to 633.98, 875.03 and 412.55

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Solution

The fourth proportional to 633.98, 875.03 and 412.55 is: 569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.98 : 875.03 = 412.55 : x
  2. Step 2: Convert to fraction form
    633.98/875.03 = 412.55/x
  3. Step 3: Cross multiply
    633.98x = 875.03 × 412.55
  4. Step 4: Simplify right side
    633.98x = 360,990.28
  5. Step 5: Solve for x
    x = 360,990.28/633.98
  6. Step 6: Final answer
    x = 569.41

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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.