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Finding the Fourth Proportional to 512.49, 772.50 and 479.10

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Solution

The fourth proportional to 512.49, 772.50 and 479.10 is: 722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.49 : 772.50 = 479.10 : x
  2. Step 2: Convert to fraction form
    512.49/772.50 = 479.10/x
  3. Step 3: Cross multiply
    512.49x = 772.50 × 479.10
  4. Step 4: Simplify right side
    512.49x = 370,104.75
  5. Step 5: Solve for x
    x = 370,104.75/512.49
  6. Step 6: Final answer
    x = 722.17

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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.