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Finding the Fourth Proportional to 482.01, 722.10 and 432.74

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Solution

The fourth proportional to 482.01, 722.10 and 432.74 is: 648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.01 : 722.10 = 432.74 : x
  2. Step 2: Convert to fraction form
    482.01/722.10 = 432.74/x
  3. Step 3: Cross multiply
    482.01x = 722.10 × 432.74
  4. Step 4: Simplify right side
    482.01x = 312,477.94
  5. Step 5: Solve for x
    x = 312,477.94/482.01
  6. Step 6: Final answer
    x = 648.28

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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.