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Finding the Fourth Proportional to 492.84, 737.67 and 346.41

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Solution

The fourth proportional to 492.84, 737.67 and 346.41 is: 518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 737.67 = 346.41 : x
  2. Step 2: Convert to fraction form
    492.84/737.67 = 346.41/x
  3. Step 3: Cross multiply
    492.84x = 737.67 × 346.41
  4. Step 4: Simplify right side
    492.84x = 255,536.26
  5. Step 5: Solve for x
    x = 255,536.26/492.84
  6. Step 6: Final answer
    x = 518.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.