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Finding the Fourth Proportional to 532.94, 734.54 and 401.72

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Solution

The fourth proportional to 532.94, 734.54 and 401.72 is: 553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.94 : 734.54 = 401.72 : x
  2. Step 2: Convert to fraction form
    532.94/734.54 = 401.72/x
  3. Step 3: Cross multiply
    532.94x = 734.54 × 401.72
  4. Step 4: Simplify right side
    532.94x = 295,079.41
  5. Step 5: Solve for x
    x = 295,079.41/532.94
  6. Step 6: Final answer
    x = 553.68

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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.