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Finding the Fourth Proportional to 1,057.65, 1,460.34 and 684.84

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Solution

The fourth proportional to 1,057.65, 1,460.34 and 684.84 is: 945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.65 : 1,460.34 = 684.84 : x
  2. Step 2: Convert to fraction form
    1,057.65/1,460.34 = 684.84/x
  3. Step 3: Cross multiply
    1,057.65x = 1,460.34 × 684.84
  4. Step 4: Simplify right side
    1,057.65x = 1,000,099.25
  5. Step 5: Solve for x
    x = 1,000,099.25/1,057.65
  6. Step 6: Final answer
    x = 945.59

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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.