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Finding the Fourth Proportional to 1,457.10, 2,010.78 and 793.94

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Solution

The fourth proportional to 1,457.10, 2,010.78 and 793.94 is: 1,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.10 : 2,010.78 = 793.94 : x
  2. Step 2: Convert to fraction form
    1,457.10/2,010.78 = 793.94/x
  3. Step 3: Cross multiply
    1,457.10x = 2,010.78 × 793.94
  4. Step 4: Simplify right side
    1,457.10x = 1,596,438.67
  5. Step 5: Solve for x
    x = 1,596,438.67/1,457.10
  6. Step 6: Final answer
    x = 1,095.63

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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.