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Finding the Fourth Proportional to 1,490.31, 2,057.58 and 959.45

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Solution

The fourth proportional to 1,490.31, 2,057.58 and 959.45 is: 1,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.31 : 2,057.58 = 959.45 : x
  2. Step 2: Convert to fraction form
    1,490.31/2,057.58 = 959.45/x
  3. Step 3: Cross multiply
    1,490.31x = 2,057.58 × 959.45
  4. Step 4: Simplify right side
    1,490.31x = 1,974,134.84
  5. Step 5: Solve for x
    x = 1,974,134.84/1,490.31
  6. Step 6: Final answer
    x = 1,324.65

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1.5x scale

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.