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Finding the Fourth Proportional to 1,613.78, 2,420.70 and 518.15

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Solution

The fourth proportional to 1,613.78, 2,420.70 and 518.15 is: 777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.78 : 2,420.70 = 518.15 : x
  2. Step 2: Convert to fraction form
    1,613.78/2,420.70 = 518.15/x
  3. Step 3: Cross multiply
    1,613.78x = 2,420.70 × 518.15
  4. Step 4: Simplify right side
    1,613.78x = 1,254,285.71
  5. Step 5: Solve for x
    x = 1,254,285.71/1,613.78
  6. Step 6: Final answer
    x = 777.23

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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.