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Finding the Fourth Proportional to 633, 873.54 and 400.32

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Solution

The fourth proportional to 633, 873.54 and 400.32 is: 552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    633 : 873.54 = 400.32 : x
  2. Step 2: Convert to fraction form
    633/873.54 = 400.32/x
  3. Step 3: Cross multiply
    633x = 873.54 × 400.32
  4. Step 4: Simplify right side
    633x = 349,695.53
  5. Step 5: Solve for x
    x = 349,695.53/633
  6. Step 6: Final answer
    x = 552.44

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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.