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Finding the Fourth Proportional to 532.86, 734.43 and 383.28

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Solution

The fourth proportional to 532.86, 734.43 and 383.28 is: 528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.86 : 734.43 = 383.28 : x
  2. Step 2: Convert to fraction form
    532.86/734.43 = 383.28/x
  3. Step 3: Cross multiply
    532.86x = 734.43 × 383.28
  4. Step 4: Simplify right side
    532.86x = 281,492.33
  5. Step 5: Solve for x
    x = 281,492.33/532.86
  6. Step 6: Final answer
    x = 528.27

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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.