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Finding the Fourth Proportional to 1,672.25, 2,507.53 and 561.29

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Solution

The fourth proportional to 1,672.25, 2,507.53 and 561.29 is: 841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.25 : 2,507.53 = 561.29 : x
  2. Step 2: Convert to fraction form
    1,672.25/2,507.53 = 561.29/x
  3. Step 3: Cross multiply
    1,672.25x = 2,507.53 × 561.29
  4. Step 4: Simplify right side
    1,672.25x = 1,407,439.30
  5. Step 5: Solve for x
    x = 1,407,439.30/1,672.25
  6. Step 6: Final answer
    x = 841.64

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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.