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Finding the Fourth Proportional to 492.66, 735.64 and 434.41

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Solution

The fourth proportional to 492.66, 735.64 and 434.41 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.66 : 735.64 = 434.41 : x
  2. Step 2: Convert to fraction form
    492.66/735.64 = 434.41/x
  3. Step 3: Cross multiply
    492.66x = 735.64 × 434.41
  4. Step 4: Simplify right side
    492.66x = 319,569.37
  5. Step 5: Solve for x
    x = 319,569.37/492.66
  6. Step 6: Final answer
    x = 648.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.