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Finding the Fourth Proportional to 532.58, 734.94 and 346.14

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Solution

The fourth proportional to 532.58, 734.94 and 346.14 is: 477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.58 : 734.94 = 346.14 : x
  2. Step 2: Convert to fraction form
    532.58/734.94 = 346.14/x
  3. Step 3: Cross multiply
    532.58x = 734.94 × 346.14
  4. Step 4: Simplify right side
    532.58x = 254,392.13
  5. Step 5: Solve for x
    x = 254,392.13/532.58
  6. Step 6: Final answer
    x = 477.66

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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.