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Finding the Fourth Proportional to 633.52, 873.93 and 400.78

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Solution

The fourth proportional to 633.52, 873.93 and 400.78 is: 552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.52 : 873.93 = 400.78 : x
  2. Step 2: Convert to fraction form
    633.52/873.93 = 400.78/x
  3. Step 3: Cross multiply
    633.52x = 873.93 × 400.78
  4. Step 4: Simplify right side
    633.52x = 350,253.67
  5. Step 5: Solve for x
    x = 350,253.67/633.52
  6. Step 6: Final answer
    x = 552.87

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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.