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Finding the Fourth Proportional to 518.98, 777.30 and 402.79

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Solution

The fourth proportional to 518.98, 777.30 and 402.79 is: 603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.98 : 777.30 = 402.79 : x
  2. Step 2: Convert to fraction form
    518.98/777.30 = 402.79/x
  3. Step 3: Cross multiply
    518.98x = 777.30 × 402.79
  4. Step 4: Simplify right side
    518.98x = 313,088.67
  5. Step 5: Solve for x
    x = 313,088.67/518.98
  6. Step 6: Final answer
    x = 603.28

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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.