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Finding the Fourth Proportional to 482.62, 728.28 and 465.46

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Solution

The fourth proportional to 482.62, 728.28 and 465.46 is: 702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.62 : 728.28 = 465.46 : x
  2. Step 2: Convert to fraction form
    482.62/728.28 = 465.46/x
  3. Step 3: Cross multiply
    482.62x = 728.28 × 465.46
  4. Step 4: Simplify right side
    482.62x = 338,983.76
  5. Step 5: Solve for x
    x = 338,983.76/482.62
  6. Step 6: Final answer
    x = 702.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.