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Finding the Fourth Proportional to 1,244.51, 1,866.26 and 513.58

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Solution

The fourth proportional to 1,244.51, 1,866.26 and 513.58 is: 770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.51 : 1,866.26 = 513.58 : x
  2. Step 2: Convert to fraction form
    1,244.51/1,866.26 = 513.58/x
  3. Step 3: Cross multiply
    1,244.51x = 1,866.26 × 513.58
  4. Step 4: Simplify right side
    1,244.51x = 958,473.81
  5. Step 5: Solve for x
    x = 958,473.81/1,244.51
  6. Step 6: Final answer
    x = 770.16

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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.