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Finding the Fourth Proportional to 1,513.58, 2,088.68 and 850.46

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Solution

The fourth proportional to 1,513.58, 2,088.68 and 850.46 is: 1,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.58 : 2,088.68 = 850.46 : x
  2. Step 2: Convert to fraction form
    1,513.58/2,088.68 = 850.46/x
  3. Step 3: Cross multiply
    1,513.58x = 2,088.68 × 850.46
  4. Step 4: Simplify right side
    1,513.58x = 1,776,324.10
  5. Step 5: Solve for x
    x = 1,776,324.10/1,513.58
  6. Step 6: Final answer
    x = 1,173.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.