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Finding the Fourth Proportional to 519.12, 774.63 and 473.12

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Solution

The fourth proportional to 519.12, 774.63 and 473.12 is: 705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 774.63 = 473.12 : x
  2. Step 2: Convert to fraction form
    519.12/774.63 = 473.12/x
  3. Step 3: Cross multiply
    519.12x = 774.63 × 473.12
  4. Step 4: Simplify right side
    519.12x = 366,492.95
  5. Step 5: Solve for x
    x = 366,492.95/519.12
  6. Step 6: Final answer
    x = 705.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.