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Finding the Fourth Proportional to 1,669.87, 2,505.14 and 976.18

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Solution

The fourth proportional to 1,669.87, 2,505.14 and 976.18 is: 1,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.87 : 2,505.14 = 976.18 : x
  2. Step 2: Convert to fraction form
    1,669.87/2,505.14 = 976.18/x
  3. Step 3: Cross multiply
    1,669.87x = 2,505.14 × 976.18
  4. Step 4: Simplify right side
    1,669.87x = 2,445,459.11
  5. Step 5: Solve for x
    x = 2,445,459.11/1,669.87
  6. Step 6: Final answer
    x = 1,464.46

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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.