Home / 1,133.47-1,698.75-986.59

Finding the Fourth Proportional to 1,133.47, 1,698.75 and 986.59

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Solution

The fourth proportional to 1,133.47, 1,698.75 and 986.59 is: 1,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.47 : 1,698.75 = 986.59 : x
  2. Step 2: Convert to fraction form
    1,133.47/1,698.75 = 986.59/x
  3. Step 3: Cross multiply
    1,133.47x = 1,698.75 × 986.59
  4. Step 4: Simplify right side
    1,133.47x = 1,675,969.76
  5. Step 5: Solve for x
    x = 1,675,969.76/1,133.47
  6. Step 6: Final answer
    x = 1,478.62

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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.