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Finding the Fourth Proportional to 532.65, 734.70 and 355.54

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Solution

The fourth proportional to 532.65, 734.70 and 355.54 is: 490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.65 : 734.70 = 355.54 : x
  2. Step 2: Convert to fraction form
    532.65/734.70 = 355.54/x
  3. Step 3: Cross multiply
    532.65x = 734.70 × 355.54
  4. Step 4: Simplify right side
    532.65x = 261,213.11
  5. Step 5: Solve for x
    x = 261,213.11/532.65
  6. Step 6: Final answer
    x = 490.40

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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.