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Finding the Fourth Proportional to 1,660.84, 2,478.31 and 1,513.48

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Solution

The fourth proportional to 1,660.84, 2,478.31 and 1,513.48 is: 2,258.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.84 : 2,478.31 = 1,513.48 : x
  2. Step 2: Convert to fraction form
    1,660.84/2,478.31 = 1,513.48/x
  3. Step 3: Cross multiply
    1,660.84x = 2,478.31 × 1,513.48
  4. Step 4: Simplify right side
    1,660.84x = 3,750,860.32
  5. Step 5: Solve for x
    x = 3,750,860.32/1,660.84
  6. Step 6: Final answer
    x = 2,258.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.