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Finding the Fourth Proportional to 1,457.48, 2,011.62 and 960.92

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Solution

The fourth proportional to 1,457.48, 2,011.62 and 960.92 is: 1,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.48 : 2,011.62 = 960.92 : x
  2. Step 2: Convert to fraction form
    1,457.48/2,011.62 = 960.92/x
  3. Step 3: Cross multiply
    1,457.48x = 2,011.62 × 960.92
  4. Step 4: Simplify right side
    1,457.48x = 1,933,005.89
  5. Step 5: Solve for x
    x = 1,933,005.89/1,457.48
  6. Step 6: Final answer
    x = 1,326.27

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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.