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Finding the Fourth Proportional to 532.82, 735.54 and 346.57

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Solution

The fourth proportional to 532.82, 735.54 and 346.57 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.82 : 735.54 = 346.57 : x
  2. Step 2: Convert to fraction form
    532.82/735.54 = 346.57/x
  3. Step 3: Cross multiply
    532.82x = 735.54 × 346.57
  4. Step 4: Simplify right side
    532.82x = 254,916.10
  5. Step 5: Solve for x
    x = 254,916.10/532.82
  6. Step 6: Final answer
    x = 478.43

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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.