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Finding the Fourth Proportional to 633.95, 875.26 and 398.01

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Solution

The fourth proportional to 633.95, 875.26 and 398.01 is: 549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.95 : 875.26 = 398.01 : x
  2. Step 2: Convert to fraction form
    633.95/875.26 = 398.01/x
  3. Step 3: Cross multiply
    633.95x = 875.26 × 398.01
  4. Step 4: Simplify right side
    633.95x = 348,363.77
  5. Step 5: Solve for x
    x = 348,363.77/633.95
  6. Step 6: Final answer
    x = 549.51

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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.