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Finding the Fourth Proportional to 1,613.53, 2,420.70 and 459.28

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Solution

The fourth proportional to 1,613.53, 2,420.70 and 459.28 is: 689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.53 : 2,420.70 = 459.28 : x
  2. Step 2: Convert to fraction form
    1,613.53/2,420.70 = 459.28/x
  3. Step 3: Cross multiply
    1,613.53x = 2,420.70 × 459.28
  4. Step 4: Simplify right side
    1,613.53x = 1,111,782.98
  5. Step 5: Solve for x
    x = 1,111,782.98/1,613.53
  6. Step 6: Final answer
    x = 689.04

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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.