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Finding the Fourth Proportional to 1,457.06, 2,010.80 and 793.92

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Solution

The fourth proportional to 1,457.06, 2,010.80 and 793.92 is: 1,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.06 : 2,010.80 = 793.92 : x
  2. Step 2: Convert to fraction form
    1,457.06/2,010.80 = 793.92/x
  3. Step 3: Cross multiply
    1,457.06x = 2,010.80 × 793.92
  4. Step 4: Simplify right side
    1,457.06x = 1,596,414.34
  5. Step 5: Solve for x
    x = 1,596,414.34/1,457.06
  6. Step 6: Final answer
    x = 1,095.64

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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.