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Finding the Fourth Proportional to 482.68, 722.87 and 390.41

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Solution

The fourth proportional to 482.68, 722.87 and 390.41 is: 584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.68 : 722.87 = 390.41 : x
  2. Step 2: Convert to fraction form
    482.68/722.87 = 390.41/x
  3. Step 3: Cross multiply
    482.68x = 722.87 × 390.41
  4. Step 4: Simplify right side
    482.68x = 282,215.68
  5. Step 5: Solve for x
    x = 282,215.68/482.68
  6. Step 6: Final answer
    x = 584.68

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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.