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Finding the Fourth Proportional to 482.04, 722.64 and 400.47

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Solution

The fourth proportional to 482.04, 722.64 and 400.47 is: 600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.04 : 722.64 = 400.47 : x
  2. Step 2: Convert to fraction form
    482.04/722.64 = 400.47/x
  3. Step 3: Cross multiply
    482.04x = 722.64 × 400.47
  4. Step 4: Simplify right side
    482.04x = 289,395.64
  5. Step 5: Solve for x
    x = 289,395.64/482.04
  6. Step 6: Final answer
    x = 600.36

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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.