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Finding the Fourth Proportional to 482.32, 725.36 and 402.16

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Solution

The fourth proportional to 482.32, 725.36 and 402.16 is: 604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.32 : 725.36 = 402.16 : x
  2. Step 2: Convert to fraction form
    482.32/725.36 = 402.16/x
  3. Step 3: Cross multiply
    482.32x = 725.36 × 402.16
  4. Step 4: Simplify right side
    482.32x = 291,710.78
  5. Step 5: Solve for x
    x = 291,710.78/482.32
  6. Step 6: Final answer
    x = 604.81

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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.