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Finding the Fourth Proportional to 492.68, 735.13 and 446.51

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Solution

The fourth proportional to 492.68, 735.13 and 446.51 is: 666.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.68 : 735.13 = 446.51 : x
  2. Step 2: Convert to fraction form
    492.68/735.13 = 446.51/x
  3. Step 3: Cross multiply
    492.68x = 735.13 × 446.51
  4. Step 4: Simplify right side
    492.68x = 328,242.78
  5. Step 5: Solve for x
    x = 328,242.78/492.68
  6. Step 6: Final answer
    x = 666.24

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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.