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Finding the Fourth Proportional to 1,139.29, 1,709.65 and 653.29

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Solution

The fourth proportional to 1,139.29, 1,709.65 and 653.29 is: 980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.29 : 1,709.65 = 653.29 : x
  2. Step 2: Convert to fraction form
    1,139.29/1,709.65 = 653.29/x
  3. Step 3: Cross multiply
    1,139.29x = 1,709.65 × 653.29
  4. Step 4: Simplify right side
    1,139.29x = 1,116,888.70
  5. Step 5: Solve for x
    x = 1,116,888.70/1,139.29
  6. Step 6: Final answer
    x = 980.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.