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Finding the Fourth Proportional to 532.49, 734.67 and 346.19

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Solution

The fourth proportional to 532.49, 734.67 and 346.19 is: 477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.49 : 734.67 = 346.19 : x
  2. Step 2: Convert to fraction form
    532.49/734.67 = 346.19/x
  3. Step 3: Cross multiply
    532.49x = 734.67 × 346.19
  4. Step 4: Simplify right side
    532.49x = 254,331.73
  5. Step 5: Solve for x
    x = 254,331.73/532.49
  6. Step 6: Final answer
    x = 477.63

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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.