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Finding the Fourth Proportional to 1,057.70, 1,460.49 and 709.94

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Solution

The fourth proportional to 1,057.70, 1,460.49 and 709.94 is: 980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.70 : 1,460.49 = 709.94 : x
  2. Step 2: Convert to fraction form
    1,057.70/1,460.49 = 709.94/x
  3. Step 3: Cross multiply
    1,057.70x = 1,460.49 × 709.94
  4. Step 4: Simplify right side
    1,057.70x = 1,036,860.27
  5. Step 5: Solve for x
    x = 1,036,860.27/1,057.70
  6. Step 6: Final answer
    x = 980.30

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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.