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Finding the Fourth Proportional to 1,451.49, 2,001.18 and 953.25

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Solution

The fourth proportional to 1,451.49, 2,001.18 and 953.25 is: 1,314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.49 : 2,001.18 = 953.25 : x
  2. Step 2: Convert to fraction form
    1,451.49/2,001.18 = 953.25/x
  3. Step 3: Cross multiply
    1,451.49x = 2,001.18 × 953.25
  4. Step 4: Simplify right side
    1,451.49x = 1,907,624.84
  5. Step 5: Solve for x
    x = 1,907,624.84/1,451.49
  6. Step 6: Final answer
    x = 1,314.25

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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.