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Finding the Fourth Proportional to 518.19, 776.21 and 402.23

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Solution

The fourth proportional to 518.19, 776.21 and 402.23 is: 602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.19 : 776.21 = 402.23 : x
  2. Step 2: Convert to fraction form
    518.19/776.21 = 402.23/x
  3. Step 3: Cross multiply
    518.19x = 776.21 × 402.23
  4. Step 4: Simplify right side
    518.19x = 312,209.06
  5. Step 5: Solve for x
    x = 312,209.06/518.19
  6. Step 6: Final answer
    x = 602.50

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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.