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Finding the Fourth Proportional to 479.94, 722.49 and 435.24

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Solution

The fourth proportional to 479.94, 722.49 and 435.24 is: 655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.94 : 722.49 = 435.24 : x
  2. Step 2: Convert to fraction form
    479.94/722.49 = 435.24/x
  3. Step 3: Cross multiply
    479.94x = 722.49 × 435.24
  4. Step 4: Simplify right side
    479.94x = 314,456.55
  5. Step 5: Solve for x
    x = 314,456.55/479.94
  6. Step 6: Final answer
    x = 655.20

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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.