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Finding the Fourth Proportional to 532.74, 734.83 and 346.44

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Solution

The fourth proportional to 532.74, 734.83 and 346.44 is: 477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.74 : 734.83 = 346.44 : x
  2. Step 2: Convert to fraction form
    532.74/734.83 = 346.44/x
  3. Step 3: Cross multiply
    532.74x = 734.83 × 346.44
  4. Step 4: Simplify right side
    532.74x = 254,574.51
  5. Step 5: Solve for x
    x = 254,574.51/532.74
  6. Step 6: Final answer
    x = 477.86

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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.